SOLUTION: bess has $2.80 in quarters and dimes. the number of dime is 7 less than the number of quarters. Find the number she has of each kind.

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Question 23902: bess has $2.80 in quarters and dimes. the number of dime is 7 less than the number of quarters. Find the number she has of each kind.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Let the dimes be d
Let the quarters be x

d = x-7
Dime value = 0.1 x 100 = 10
Quarter value = 0.25 x 100 = 25
total = 2.80 x 100 = 280

10d+25x=280
10(x-7)+25x=280
10x-70+25x=280
35x=350
x = 10

d = 10-7
d=3

Hence, there are 10 quarters and 3 dimes.
Paul.