Answer: (a) John spent 2/5 of the remainder of his money on a toy. Let's first find the remainder of his money after he spent 20% on food. If he spent 20% on food, then he has 80% of his money remaining. So, if he had $x initially, he has $0.8x remaining.
John spent 2/5 of the remainder on a toy, so we can set up the equation:
(2/5)(0.8x) = 12
Simplifying, we get:
0.32x = 12
Dividing both sides by 0.32, we get:
x = 37.5
So, John initially had $37.5.
To find the percentage of his money he spent on the toy, we can use the following formula:
Percentage = (amount spent on toy / initial amount) * 100%
The amount John spent on the toy is $12, and his initial amount is $37.5, so we get:
Percentage = (12 / 37.5) * 100% = 32%
Therefore, John spent 32% of his money on the toy.
(b) John initially had $37.5.
Explanation: