SOLUTION: a girl buys three apples and seven oranges for $4.56. if an orange costs $0.28 more than an apple, how much does each fruit cost?

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Question 161194: a girl buys three apples and seven oranges for $4.56. if an orange costs $0.28 more than an apple, how much does each fruit cost?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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a girl buys three apples and seven oranges for $4.56. if an orange costs $0.28 more than an apple, how much does each fruit cost?
:
Let x = cost for an apple
Then
(x+.28) = cost for an orange (given information)
:
Write an equation for the statement:
"girl buys three apples and seven oranges for $4.56."
3x + 7(x+.28) = 4.56
:
3x + 7x + 1.96 = 4.56
:
3x + 7x = 4.56 - 196
:
10x = 2.60
:
x = 2.6%2F10
x = .26 is the cost for an apple
then
.26 + .28 = .54 cost for an orange
:
:
Check solution in original equation:
3(.26) + 7(.54) =
.78 + 3.78 = 4.56