SOLUTION: carl bought 19 apples of 2 different varieties to make a pie. the total cost of the apples was $5.10. granny smith apples cost $0.25 each and gala apples cost $0.30 each. how many
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Question 391396: carl bought 19 apples of 2 different varieties to make a pie. the total cost of the apples was $5.10. granny smith apples cost $0.25 each and gala apples cost $0.30 each. how many of each type of apple did he buy?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Let 
represent the number of Granny Smith apples, and let 
represent the number of Gala apples. Then 
is the value of the Granny Smith apples in cents while 
is the value of the Gala apples in cents. Since the total cost was $5.10, the total cost was 510¢.
Because there are 19 apples total:
Because the total value is 510¢:
Solve the first equation for either of the variables in terms of the other, e.g. 
, and then substitute into the second equation and solve for the remaining variable. Simple substitution of the result back into the first equation provides the value of the other variable.
John
My calculator said it, I believe it, that settles it
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