Question

Which situation is represented by the inequality? 5x + 50 > 3x + 100

A) Mitch has $50 and Mary has $100. Mitch saves $5 per week and Mary saves $3 per week. How long will it be before Mitch has more money than Mary?

B) Mitch has $50 and Mary has $100. Mitch saves $3 per week and Mary saves $5 per week. How long will it be before Mitch has more money than Mary?

C) Mitch has $50 and Mary has $100. Mitch saves $5 per week and Mary saves $3 per week. How long will it be before Mitch and Mary have the same amount of money?

D) Mitch has $50 and Mary has $100. Mitch saves $3 per week and Mary saves $5 per week. How long will it be before Mitch and Mary have the same amount of money?

Answer 1

The answer will be A) Mitch has $50 and Mary has $100. Mitch saves $5 per week and Mary saves $3 per week. How long will it be before Mitch has more money than Mary. Hope it help!

Answer 2

Option A.

Explanation:

Mary has $100 and Mitch has $50.

Mitch saves $5 per week and Mary saves $3 per week.

Let they work for the same months = x

Therefore, their savings after x moths will be

Mitch savings = $(50 + 5x)

Mary's savings = $(100 + 10x)

If Mitch's savings are more than Mary then the inequality formed will be

(50 + 5x) > (100 + 10x)

By solving the inequality we can find the duration after which Mitch will have more money than Mary.

Option A. will be the answer.