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topjm [15]
2 years ago
13

There are 31 coins of dimes and quarters. If the number of dimes is 5 more than the number of quarters, how many quarters are th

ere? How many are dimes? Hint: let x=dimes and y=quarters. Write your answer in an ordered pair ( , ).
Mathematics
1 answer:
emmasim [6.3K]2 years ago
5 0

Answer:

<u>13 Quarters and 18 Dimes</u>

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Give x and y a break, and make it easier to remember which is which.

D + Q = 31

D = Q + 5

Therefore:

D + Q = 31

(Q+5) + Q = 31

2Q + 5 = 31

2Q = 26

<u>Q = 13</u>

<u>Then D = (13+5) or 18</u>

================

Check:

D + Q = 31 ?

18 + 13 = 31  <u>YES</u>

----------------------

D = Q + 5 ?

18 = 13 + 5   <u>YES</u>

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