Question

Martha was supposed to multiply the number of cans sold with the price of one can to ascertain the amount. Instead of taking $41$ as the number of cans, she wrote $14$ by mistake. As a result, the product went down by $135.$ What is the other multiplier?​

Answer 1

Compute the other multiplier:

She has to multiply the number of cans with the prize. But she mistakenly multiplies the prize by $14$ instead of $41$ and that reduced the value of a product by $135$. The value of a product when multiplied by $41$ is $135$ more than the value of a product when multiplied by $14$.

Let the multiplier be $\mathrm{x}.$

$$\begin{gathered} \Rightarrow 41\mathrm{x}=14\mathrm{x}+135 \\ \Rightarrow 41\mathrm{x}-14\mathrm{x}=135 \\ \Rightarrow 27\mathrm{x}=135 \\ \Rightarrow \mathrm{x}=\frac{135}{27} \\ \Rightarrow \mathrm{x}=5 \end{gathered}$$

Hence the multiplier is $5.$