Question

The size 4 soccer ball sean's team uses should weigh no more than 0.37 kilogram and no less than 0.31 kilogram a soccer bag has two balls in it what is the most they could weigh together the least?

Answer 1

The weight of two balls together can be at most 0.74 kilogram and the lest weight will be 0.62 kilogram

Explanation:

Suppose, the weight of one soccer ball is
`x` kilogram.

As the ball weighs no more than 0.37 kilogram, that means:
`x\leq 0.37 ...............................(1)`

And also the ball is no less than 0.31 kilogram, that means:
`x\geq 0.31 ................................(2)`

So, if we combine inequalities (1) and (2), then we will get........

`0.31\leq x\leq 0.37`

Now, the soccer bag has two balls in it. So, the weight of two balls will be:
`2x` kilogram.

Multiplying the above inequality by 2, we will get........

`(0.31*2)\leq 2x\leq (0.37*2)\\ \\ 0.62\leq 2x\leq 0.74`

Thus, the weight of two balls together can be at most 0.74 kilogram and the lest weight will be 0.62 kilogram.