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?
+313 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.
+164 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
