## Every evening jenna empties her pockects and puts her change in a jar. one week she had 38 coins, all of them dimes and quarters. when she a

Question

Every evening jenna empties her pockects and puts her change in a jar. one week she had 38 coins, all of them dimes and quarters. when she added them up she had a total of 6.95Every evening jenna empties her pockects and puts her change in a jar. one week she had 38 coins, all of them dimes and quarters. when she added them up she had a total of 6.95

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Math
2 weeks
2021-10-13T22:17:51+00:00
2021-10-13T22:17:51+00:00 1 Answer
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## Answers ( )

Answer:17 dimes, 21 quarters

Step-by-step explanation:I suppose you want to know how many dimes and quarters she had in her jar.Let’s say x = dimes and y = quarters.

We can make the following 2 equations:1) x + y = 38 (number of coins in the jar)

2) 10x + 25y = 695 (a number of dimes plus a number of quarters sum up to 695 cents)

From 1), we can isolate y: y = 38 – x, and place that value in the second equation:

10x + 25y = 695

10x + 25 (38 – x) = 695

10x + 950 – 25x = 695, then we subtract 950 on both sides and simplify

-15x = -255

x = 17

So, Jenna had 17 dimes.y = 38 – x, so y = 38 – 17 = 21

And she had 21 quarters.