Question

Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling. Abha collected 178 more cans than Shane did. Write an inequality to determine the number of cans, S, that Shane could have collected.

Answer 1

`2x+178\geq 2000`

Explanation:

Let, the number of cans collected by Shane = x.

So, the number of cans collected by Abha = x + 178.

Since, at least 2000 cans are required to be collected.

Thus, we have the inequality,

Number of cans by Shane + Number of cans by Abha ≥ 2000.

i.e.
`x+(x+178)\geq 2000`

i.e.
`2x+178\geq 2000`

Thus, the required inequality is
`2x+178\geq 2000`.