Question

You and your friend are planning to walk across an old bridge. The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds. Write and solve an inequality that represents how much your friend can weigh within the limits of the bridge.

Answer 1

The required inequality is
`675+156+x\leq 1000`

Your friend can weigh
`x\leq 169`.

Explanation:

Consider the provided information.

The bridge can hold at most 1000 pounds. The total weight of the people currently on the bridge is 675 pounds. You weigh 156 pounds.

Let the weigh of your friend is represented by x.

The bridge can hold at most 1000 pounds, that means the bridge can hold less than or equal to 1000 pounds.

`675+156+x\leq 1000`

Now solve the above inequality as shown:

`831+x\leq 1000`

`x\leq 1000-831`

`x\leq 169`

Hence, your friend can weigh
`x\leq 169`.

Therefore, your friend can weigh less than or equal to 169.