Jackie has a jar with dimes and quarters in it the jar has 8 more quarters than it has dimes if the value of the coins is $5.50 how many quarters are in the jar

Question

quarters 

Answer 1

Hi, Jamal!

 

Let's translate into "mathese"

 

The jar has eight more quarters than it has dimes

(which is to day, there's a number of dimes, and there are eight-more-than-that quarters)

so Q = D + 8

 

The value of the coins is $5.50

So the value of the quarters plus the value of the dimes is $5.50

value of quarters = $0.25 * Q

value of dimes = $0.10 * D

($0.25Q) + ($0.10D) = $5.50

 

Now solve by subbing D+8 for Q! 

 

Can you get it from there? Try and see (more below if you can't.)

 

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Okay, so (0.25 * (D + 8)) + (0.10*D) = 5.50

(0.25D + 2) + 0.10D = 5.50

0.25D + 2 + 0.10D = 5.50

0.35D + 2 = 5.50

0.35D = 3.50

D = 10

 

Q = D + 8 = 10 + 8 = 18

 

Check your work!

10(0.10) + 18(0.25) = 1.0 + 4.5 = 5.5 = 5.50

Correct!

 

Hope this helps!