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# Help me to solve this problem

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Nate spent 1/3 of his money on 6 curry puffs and 13 apple pies.

The cost of 1 apple pie is twice the cost of a curry puff.

He bought more apple pies with 3/4 of the remaining money.

He paid a total of $92.50 for all the apple pies. How much did Nate pay for 1 apple pie? Aug 27, 2021 ### 2+0 Answers #1 +1 Suppose Nate's total money is$x and the cost of 1 curry puff is $y. Since the cost of 1 apple pie is twice the cost of a curry puff. Therefore the cost of 1 apple pie is$2y.

Now the cost of 6 curry puffs and 13 apple pies is $(6y + 26y) =$32y.

Since Nate spent 1/3 of his money on 6 curry puffs and 13 apple pies.

Therefore

32y = $${x \over 3}{}{}$$
⇒ x = 96y  .............. (1)

Now the remaining money is x - x/3 = 2x/3.

3/4 of the remaining money is 3/4 * 2x/3 = x/2.

Since he bought more apple pies with 3/4 of the remaining money ($$${x\over 2}{}{}$$) and he paid a total of$92.50 for all the apple pies.

Therefore

26y + x/2 = 92.50

⇒ 26y + 96y/2 = 92.50    using equation (1)

⇒ 74y = 92.50

⇒ 2y = 92.50/37

⇒ 2y = 2. 50

So Nate pay $2.50 for 1 apple pie. Aug 28, 2021 #2 +1 Set the cost of 1 curry puff X, So the cost of 1 apple pie 2X, and the total money he paid y So given the question, we can kniw 6X + 13 * 2X = 1/3y 13.2X+3/4*2/3y=92.50 So X=1.25 , 2X=2.5 So Nate pay$2.5 for 1 apple pie

Sep 3, 2021