Question 249989
An apple costs the same as 2oranges. Let g = no. or oranges
a = 2g
:
 Together, an orange and a banana cost .10 more than an apple.
g + b = a + .10
b = a - g + .10
Replace a with 2g
b = 2g - g +.10
b = g + .10
:
Two oranges cost .15 more than a banana.
2g = b + .15
Replace b with (g+.10)
2g = (g+.10) + .15
2g = g + .25
2g - g = .25
g = .25, is the price of each orange
:
what is the cost for one of each fruit?
a = 2g
a = 2(.25)
a = .50, is the price of each apple
:
b = g + .10
b = .25 .10
b = .35, is the price of each banana
;
:
Check solution in the statement:
Together, an orange and a banana cost .10 more than an apple.
.25 + .35 = .50 + .10; confirms our solutions