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valentinak56 [21]
3 years ago
9

Emily saved 25 coins. She saved quarters and one-dollar coins only. If she had a total of $12.25, how many quarters did she have

?
____quarters
Mathematics
2 answers:
VashaNatasha [74]3 years ago
7 0

Answer: she has 17 quarters

Step-by-step explanation:

The worth of a quarter is 25 cents. Converting to dollars, it becomes

25/100 = $0.25

Let x represent the number of quarters that she saved.

Let y represent the number of one-dollar coins that she saved.

Emily saved 25 coins. This means that

x + y = 25

If she had a total of $12.25, it means that

0.25x + y = 12.25 - - - - - - - - - - - 1

Substituting x = 25 - y into equation 1, it becomes

0.25(25 - y) + y = 12.25

6.25 - 0.25y + y = 12.25

- 0.25y + y = 12.25 - 6.25

0.75y = 6

y = 6/0.75

y = 8

x = 25 - y = 25 - 8

x = 17

FinnZ [79.3K]3 years ago
3 0
She would have 1 quarter
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