SOLUTION: Gary bought 5/4 as many mango tarts as pineapple tarts from a shop. He gave 30 mango tarts and 15 pineapple tarts to his brother. The number of mango tarts left to the number of pi

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Gary bought 5/4 as many mango tarts as pineapple tarts from a shop. He gave 30 mango tarts and 15 pineapple tarts to his brother. The number of mango tarts left to the number of pi      Log On


   

Question 1184818: Gary bought 5/4 as many mango tarts as pineapple tarts from a shop. He gave 30 mango tarts and 15 pineapple tarts to his brother. The number of mango tarts left to the number of pineapple tarts left was 2:5. How many mango tarts and pineapple tarts did Gary buy from the shop?
Found 2 solutions by ikleyn, josgarithmetic:
Answer by ikleyn(52832) About Me  (Show Source):
You can put this solution on YOUR website!
.
Gary bought 5/4 as many mango tarts as pineapple tarts from a shop.
He gave 30 mango tarts and 15 pineapple tarts to his brother.
The number of mango tarts left to the number of pineapple tarts left was 2:5.
How many mango tarts and pineapple tarts did Gary buy from the shop?
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As it is worded,  printed,  posted and presented,  the problem  HAS  NO  solution in integer numbers

and  THEREFORE  is a  FAKE.



Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Gary bought 5p%2F4 of Mango tarts and p of Pineapple tarts.

He gave 30 of the mango and 15 of the pineapple to his brother so remaining he has
5p%2F4-30 of the mango and p-15 of the pineapple.

Ratio of mango to pineapple he still have is 2:5.
highlight_green%28%285p%2F4%29%2F%28p-15%29=2%2F5%29
Solve and decide.

If you try to solve this, one of the steps will say 17p=4%2A120 and not allowing for whole number solutions.

If "Gary bought 4/5 as many mango tarts as,...", then you will find better results!