SOLUTION: Mary spent 0.7 of her money on 15 mangoes and 5 oranges, if each orange cost half as much as a mango, how many oranges could she buy with the rest of her money?

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Mary spent 0.7 of her money on 15 mangoes and 5 oranges, if each orange cost half as much as a mango, how many oranges could she buy with the rest of her money?      Log On


   



Question 1186268: Mary spent 0.7 of her money on 15 mangoes
and 5 oranges, if each orange cost half as much
as a mango, how many oranges could she buy
with the rest of her money?

Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52794) About Me  (Show Source):
You can put this solution on YOUR website!
.
Mary spent 0.7 of her money on 15 mangoes and 5 oranges,
if each orange cost half as much as a mango,
how many oranges could she buy with the rest of her money?
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According to the condition, each mango costs as much as two oranges.


THEREFORE,  15 mango and 5 oranges  cost as much as  2*15 + 5 = 30 + 5 = 35 oranges.


HENCE,  each orange costs  0.7%2F35 = 0.02  of the total Mary's money.


On the rest of her money  she can buy  %281-0.7%29%2F0.02 = 0.3%2F0.02 = 15 oranges.


ANSWER.  On the rest of her money  Mary can buy  15 oranges.

Solved and explained.



Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
---------------------------------------------------
Mary spent 0.7 of her money on 15 mangoes
and 5 oranges, if each orange cost half as much
as a mango, how many oranges could she buy
with the rest of her money?
---------------------------------------------------

M amount of money
n, price of 1 Orange
2n, price of 1 mango

0.7M=15%2A2n%2B5n
0.7M=35n
M=35n%2F0.7
M=50n

n=M%2F50------------price of 1 orange
M%2F25--------------price for 1 mango
0.3M--------------amount of money Mary has after the first described purchase.

The question:
Amount of oranges she can buy using the remaining 0.3M of money:
0.3M%2A%281%2F%28M%2F50%29%29
0.3%2A50
highlight%2815%29