Jimmy spent 1/4 of his money on transport. He spent 5/8 of the remaining amount a food and saved the rest of his money. If he saved $117, how much money did he spend on transport and food?
Let's say Jimmy had $x.
He spent 1/4 * x on transport, which is 1/4 * x = x/4.
The amount of money Jimmy had remaining is x - (x/4) = 3x/4.
He spent 5/8 * (3x/4) on food which is 5/8 * (3x/4) = 15x/32.
The amount of money Jimmy saved is 3x/4 - 15x/32 = 9x/32 = $117
9x = $117 * 32
The total amount of money he had is x = $374
He spent 1/4 * $374 + 15/32 * $374 = $93.5 + $43.125 = $<<93.5+43.125=136.625>>136.625 on transport and food. Answer: \boxed{136.625}.
Let's assume Jimmy's total amount of money is 'x'.
He spent 1/4 of his money on transport, which is (1/4) * x.
After spending on transport, he had (1 - 1/4) = (3/4) * x remaining.
He spent 5/8 of the remaining amount on food, which is (5/8) * (3/4) * x.
The amount he saved is equal to the remaining amount, which is (3/4) * x - (5/8) * (3/4) * x.
We are given that the amount saved is $117.
So, (3/4) * x - (5/8) * (3/4) * x = $117.
Simplifying the equation:
(3/4) * x - (15/32) * x = $117.
Multiplying both sides of the equation by 32 to remove the fractions:
24x - 15x = $117 * 32.
9x = $3744.
Dividing both sides of the equation by 9:
x = $416.
Now we can calculate the amount spent on transport and food.
The amount spent on transport = (1/4) * x = (1/4) * $416 = $104.
The amount spent on food = (5/8) * (3/4) * x = (5/8) * (3/4) * $416 = $195.
Therefore, Jimmy spent a total of $104 + $195 = $299 on transport and food.