Question

Ali Ben and Carla made a total of 20 sandwiches ben made three times as many ali and Carla made twice as many as Ben how many sandwiches did Ali make?

Answer 1

We know that

• They made 20 sandwiches in total.

,

• Ben made three times as many as Ali made.

,

• Carla made twice as many as Ben.

Let's call Ben, Ali, and Carla B, A, and C.

The first statement would be expressed as

`A+B+C=20`

The second statement would be

`B=3A`

The third statement would be

`C=2B`

We have to find an equation with variable A only. Let's replace the second equation in the first one.

`A+3A+C=20`

Then, we replace the second equation with the third one.

`C=2(3A)=6A`

This last expression we include in the total sum to express it as A.

`A+3A+6A=20`

Then, we solve for A.

`\begin{gathered} 10A=20 \\ A=(20)/(10) \\ A=2 \end{gathered}`

Therefore, Ali made 2 sandwiches.