Questions & Answers

Question

Answers

(A) 3

(B) 4

(C) 6

(D) 2

Answer
Verified

According to the question, If Ben made 3 times as many as Ali, then

$B = 3A$

And, if Carla made twice as many as Ben, then

$C = 2B$

Here, we are trying to find A, so let’s substitute the values earlier into solution.

So, according to the question,

$A + B + C = 20$

By substituting the values of B and C we get,

$ \Rightarrow A + 3A + 2B = 20[\because B = 3A]$

$ \Rightarrow A + 2A + 2\left( {3A} \right) = 20$ $\left[ {\because B = 3A} \right]$

Now we add the similar terms to get the value of A

$ \Rightarrow A + 2A + 6A = 20$

$ \Rightarrow 10A = 20$

$ \Rightarrow A = 2$

Therefore the value of A = 2

Hence, Ali made 2 sandwiches.

So the correct answer is D

As said in the question Ben made 3 times as many sandwiches as ali. So sandwiches made by Ben= $3x$.

Carla made twice as many as Ben.

Sandwiches made by Carla = $6x$. Given that the total sandwiches made were 20. $x+3x+6x$ = $20$.

$x$ = $2$.

So the total number of sandwiches made by Ali =$2$.

We used the concept of linear equations in one variable in the alternative method.