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?

Algebra.Com
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)   (Show Source): You can put this solution on YOUR website!
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 =
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



RELATED QUESTIONS

A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than (answered by stanbon)
A girl buys three apples and seven oranges for $4.56. If an orange costs $0.28 more than (answered by MathLover1)
A girl buys three apples and seven oranges for $4.56. If an orange cost .28 more than an... (answered by checkley77)
translate into a algebraic equations : 1) A girl buys three apples and seven oranges... (answered by checkley77)
I'm really stuck on this particular question, which is: A girl buys three apples and... (answered by Alan3354)
solve : 1) The sum of the page numbers on facing pages of a book is 157; what are (answered by checkley77)
Translate into algebric equotions : 1)Tom’s uncle owns a triangular piece of... (answered by scott8148)
Translate the following problems into algebraic equations : 1)Tom’s uncle owns (answered by scott8148)
Translate the following problems into algebraic equations : 1)The final grade for a... (answered by stanbon)