Toy Cost Percentage
Aditya Kashyap
ohn spent 20% of his money on food. He spent 2/5 of the remainder on a toy. The toy cost $12.
(a) What percentage of his money did he spend on the toy?
b) How much money did he have at first?
(a) To find the percentage of his money that John spent on the toy, we need to first find the total amount of money he had left after spending 20% on food.
Let's say John had x amount of money initially.
Then, he spent 20% of x on food, which is 0.2x.
So, he had (x - 0.2x) = 0.8x amount of money left.
Next, he spent 2/5 of this remaining amount on a toy, which cost $12.
Therefore, 2/5 of 0.8x = $12
Simplifying this, we get:
0.32x = $12
x = $37.50
So, John had $37.50 initially.
Now, to find the percentage of his money that he spent on the toy, we can use the formula:
Percentage = (Amount spent on toy / Total initial amount) x 100
Amount spent on toy = $12
Total initial amount = $37.50
Plugging these values into the formula, we get:
Percentage = (12 / 37.50) x 100
Percentage = 32%
Therefore, John spent 32% of his money on the toy.
(b) John had $37.50 at first.