Kim has 29 coins of dimes and quarters worth $5.30. How many dimes and quarters does she have?

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How to solve an algebra money math word problem - dimes, quarters, 2 variable linear system. Learn more math at TCMathAcademy.com/.
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28 июн 2024

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Комментарии : 42

@nancyholcombe8030 3 дня назад

C). Figured it out in my head. Sixteen quarters is $4.00 and thirteen dimes is $1.30.

@ur_favone 3 дня назад

I had it at 20 quarters and 3 dimes.😊 But $5.30 can be added up, using quarters and dimes with all different kinds of assortments.

@Ayelmar 3 дня назад

Solved in my head at about 0:45, my answer is c) 13d, 16q. If we start with all dimes, we have $2.90, thus we need to make up $2.40 by substituting quarters for dimes. Each quarter, being worth $0.25, is $0.15 more than a dime, so $2.40 / $0.15 = 16 quarters to substitute for dimes. 29 - 16 = 13 dimes remaining. 16 # $0.25 = $4.00 in quarters. So, $1.30 in dimes + $4.00 in quarters = $5.30 total.

@roundtwo3321 3 дня назад

C = 13 dimes and 16 quarters. x + y = 29 0.1x + 0.25y = 5.30 Use substitution method

@panlomito 3 дня назад

Two variables and two equations... that's easy: D = number of dimes (10 cents) and Q = number of quarters (25 cents) D + Q = 29 coins and 10.D + 25.Q = 530 cents 10.(29 - Q) + 25.Q = 530 or 290 - 10.Q + 25.Q = 530 or 15.Q = 240 So Q = 240/15 = 16 coins and D = 29 - 16 = 13 coins Check: 13 + 16 = 29 coins and 16 x 25 + 13 x 10 = 400 + 130 = 530 cents No calculator needed of course... 16 x 25 = (16/4) x (25x4) and 240 / 15 = (240x2) / (15x2) = 48 / 3

@raya.pawley3563 3 дня назад

Thank you.

@topkatz58 3 дня назад

D + Q = 29; Q = 29 - D .1D + .25Q = 5.30 10D + 25Q = 530 10D + 25(29 - D) = 530 10D + 725 -25D 25D - 10D = 725 - 530 = 195 15D = 195 D = 13 Q = 16 # of dimes = 13 # of quarters = 16 Verification 13 * .10 + 16 * .25 = 1.30 + 4.00 = $5.30

@jessemallory741 2 дня назад

D + Q = 29 .10d + .25q = 5.30 .10d + .10q = 2.90 .15q = 2.40 q = 16 d = 13 16 x .25 = 4.00 13 x .10 = 1.30 Total. = 5.30

@Herlongian 2 дня назад

It’s a combination of values and pieces. If I exchange two quarters for a half dollar, a fraction has been reduced but what got reduced? Either way it’s fifty cents. What got reduced is coins went from two to one. Pieces and values.

@doubleosevenstat7111 16 часов назад

0.10D+0.25Q=$5.30 D+Q=29 0.10D+0.25Q=$5.30 -0.10(D+Q=29) 0.10D+0.25Q=$5.30 -0.10D-0.10Q=-2.90 0.15Q=2.40 Q=2.40/0.15 Q=16 D+16=29 29-16=13=D 13+16=29 0.10(13)+0.25(16)=$5.30. 13 dimes and 16 quarters.

@MargaretCutt-um8iq 3 дня назад

i did it in my head without using unknowns. having to survive on change at points in my life, lol, i can figure out sums...lol

@Herlongian 3 дня назад

x = number of dimes. 29-x = number of quarters 0.1x + 0.25(29-x) = 5.30

@sirtango1 3 дня назад

16 Quarters 13 Dimes. Now I solved this before the video started. I also calculated that the owes $13,827 in taxes on those 29 coins!

@femaleKCRoyalsFan 3 дня назад

I got it before the video started

@markc2643 3 дня назад

To do it in your head without multiple choice to guide you, start with the most quarters which is 20 quarters = 5 dollars and 3 dimes = 30 cents. So 23 coins. Substitute quarters for dimes with 5 dimes = 2 quarters which is the smallest substitution you can do. Subtract 2 quarters and add 5 dimes gives you 18 quarters and 8 dimes which adds to 26 coins. Subtract another 2 quarters and add another 5 dimes and you get 16 quarters and 13 dimes which is 29 coins. Problem solved, in your head, without algebra faster than it takes to write down the algebra equations. Edit 1 day later: I asked my 7 y/o grandson how many quarters and dimes there are in $5.30 and he instantly said 20 quarters and 3 dimes. I then asked him to solve for 29 coins and he lost interest. He's autistic, and can already do basic algebra, so I figure he would get it if he hadn't lost interest.

@russelllomando8460 3 дня назад

got it C easy math with multiple choice. thanks for the fun,

@Shez-gv3ve 3 дня назад

The answer to this question the way it is actually written is 29. If you want to know how many are dimes and how many are quarters you should have asked that.

@krishnamurthyg9404 3 дня назад

Kim has 16 Quarters and 13 Dimes which add up to 5 dollars and 30 cents.

@stevenjohnson1143 3 дня назад

C 4.00 dollars in quarters is 16 1.30 in dimes is 13 however 20 quarters and 3 works also but doesn't fit the requirements

@Herlongian 2 дня назад

Of course through trial error and arithmetic one could solve this in their head. However, it is more fun, elegant, and challenging to come up with an equation. That’s how students today are taught math. They are given a scenario and they create the equation or function not just calculate.

@gavindeane3670 2 дня назад

That would make sense if we hadn't been given the four multiple choice answers.

@Herlongian 2 дня назад

The answer is in the question. Kim has 29 dimes and quarters.

@chrisdissanayake6979 3 дня назад

13 dimes and 16 quarters

@lamper2 3 дня назад

Of the 100,000 math papers, I wonder how many A+ ?

@michaeldavis6607 День назад

I am probably smarter than all of you. Rather than just use my head, I sang myself to sleep and the solution came to me in a dream.

@goddessanjanee2525 3 дня назад

C I got the answer in underc15 seconds before starting the video.

@gavindeane3670 3 дня назад

This is an odd one to present as multiple choice. We can immediately rule out a and d because an odd number of quarters means the total would have to end in 5 not 0. So there are just two options to check. b does not add up to $5.30. c does, so that's the answer. What's the reason for presenting multiple choice answers here? Why not leave them out, so that the simultaneous equations approach that you're teaching in the video is actually relevant to the question?

@kazhb2926 3 дня назад

Good brain exercise. Thanks.

@leetucker9938 3 дня назад

what is 5 imaginary squared ?

@richardl6751 3 дня назад

-25

@luillierstephane1463 3 дня назад

@ResourcefulNomad 3 дня назад

@jeffreyforti7558 3 дня назад

You keep saying decades

@adrianm.2043 3 дня назад

Shouldn't you state the value of Dimes and Quarters in the question? unless you live in USA or have visited USA you may not know what they are worth, as I do not.

@charlespaine987 Час назад

Quarter=25 cents dime= 10 cents

@youztuber5000 3 дня назад

Wonderfully easy for a dumbass like me. Thanks.

@Wellness411LLC 3 дня назад

C. 😝

@dwaipayandattaroy9801 3 дня назад

29 coins, distribute with 10s and 25s , where 10 of 10s make one and 4 of 25s makes same one then 16 of 25s and 13 of 10s makes total 5.30, Algebra wise X+Y = 29 and 10x+ 25y= 5.30 , this thing and then x= 29-y , didn't come to my mind, else am aware of it, perhaps solved it any way for right answer so didn't put algebric emphasis at all, it was not even there in mind, and didn't try to think around it to even recall or try from scratch 💀😂✌