Omar spent $162 more

Question

Omar spent $162 more than 1/7 of his monthly salary on transport. He spent $40 less than 1/6 of his remaining salary on groceries. He spent $968 on groceries. He saved the rest of his salary. (a) How much of his monthly salary did Omar save? (b) What was Omar's monthly salary? (c) Find Omar's total salary in 1 1/4 years.

Answer 1

I would solve for part b first. Let x equal Omar's monthly salary.

An expression for the amount paid on transportation is:

T = x/7 + 162 (162 more than 1/7 of his monthly salary)

The amount that remains (R) AFTER he spends on transportation is:

R= x - T = x - (x/7 + 162) = 6x/7 - 162

On groceries (G) he spends $40 less than 1/6 of what remains:

1/6 (R) - 40 = G, but G = 968

1/6 [6x/7 - 162] - 40 = 968

x/7 - 27 - 40 = 968

x/7 - 67 = 968

x/7 = 1035

x = 7245 (Omar's monthly salary)

T = 1/7(7245) + 162 = 1197

R = 7245 - 1197 = 6048

G = 1/6(6048) - 40 = 968 (matches the given)

So he saves:

S = 7245 - (T + G) = 7245 - 2165 = 5080

Assuming part c really means how much will Omar earn in 1 1/4 years (which is 15 months):

7245(15) = ?