Question

Ali, Ben, and Carla made a total of $20$ sandwiches. Ben made $3$ times as many as Ali, and Carla made twice as many as Ben. How many sandwiches did Ali make?

• A. Two
• B. Four
• C. Five
• D. Six

Answer 1

Answer: (A)

Two

Let sandwiches made by Ali,Ben and carla are $x,$ $y$ and $z$

$\Rightarrow x+y+z=20$

Ben made $3$ times as many as Ali

$\Rightarrow y=3x$

Carla made twice as many as Ben

$\Rightarrow z=2y$

$\Rightarrow z=2\left(3x\right)=6x$

So $x+y+z=20$

$\Rightarrow x+\left(3x\right)+\left(6x\right)=20$

$\Rightarrow 10x=20$

$\Rightarrow x=2$

So $y=3x=3\times 2=6$ and

$z=2y=6x=6\times 2=12$

Sandwiches made by ali are $x=2$

Sandwiches made by Ben are $y=6$

Sandwiches made by carla are $z=12$