Question

After the lunch rush, Ellen had used up all the small containers and half the large containers. Which of these expressions can be used to find the number of plastic containers still on the counter? A 30 – 10 – 5 B 30x 1/2 -10 C 30- 10 - 1/2 D30 ÷ 3 – 5

Answer 1

`Remaining\ containers=(y)/(2)\\\\Where\ y\ is\ the\ number\ of\ large\ containers.`

Explanation:

Let number of small containers
`=x`

Let number of large containers
`=y`

Total containers
`=x+y`

Used Containers:

Small containers used
`=x\ \ \ (as\ all\ small\ containers\ used)`

Larger containers used
`=(y)/(2)\ \ \ \ \ \ (half\ of\ the\ large\ containers\ used)`

Total containers used
`=x+(y)/(2)`

Remaining containers=total containers-used containers

`Remaining\ containers=(x+y)-(x+(y)/(2))=(y)/(2)\\\\\\\\If\ small\ containers(x)=30\\\\Large\ containers(y)=20\\\\total\ containers(x+y)=30\\\\Remaining\ containers=30-10-(1)/(2)* 20`