SOLUTION: Mark spent 1/10 of his salary on transport and 1/5 of it on food. He also gave 1/2 of his salary to his parents. He saved the remaining $480. a) What fraction of the salary did h

Question 1205022: Mark spent 1/10 of his salary on transport and 1/5 of it on food. He also gave 1/2 of his salary to his parents. He saved the remaining $480.
a) What fraction of the salary did he save?
b) How much money did he give his parents?
c) How much did he spend on food and transport?
A. a) 1/3, b) $1,000, c) $220
B. a) 1/5, b) $1,200, c) $240
C. a) 1/7, b) $1,400, c) $260
D. a) 1/9, b), $1,600, c) $280
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
he spent 1/10 on transport
he spent 1/5 on food
he spent 1/2 on his parents
that's a total of 1/10 + 2/10 + 5/10 = 8/10.
let x = his total salary.
he saved 480.
your formula is 1/10 * x + 1/5 * x + 1/2 * x + 480 = x
this becomes 8/10 * x + 480 = x
subtract 8/10 * x from both sides of the equation to get:
480 = 2/10 * x
solve for x to get:
x = 10/2 * 480 = 2400

the fraction of his salary that he saves if 480 / 2400 = .2 which is equal to 1/5.

your solution needs to be selection B.

part a of selection B is correct.
part b of selection B is correct.

part c doesn't look right.
from the problem statement, he spent 1/10 on transport.
that would be 240.
he also spent 1/5 on food.
that would be 480.
if part c was only for transport, it would be correct.
if it's really transport AND food, then it's wrong, because that would be equal to 3/10 * 2400 = 720.

Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
Spend on transport and spent on food, so at this point
still possesss of salary.

But he gave half his salaray, of w, to parents.
Still he then had ;
--------he kept 480 for himself.

(a) Fraction of salary he saved

(c) How much spent food & transport

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