Question

Tommy's Closet sells more sweaters than jackets by a ratio of 7:3. If 168 sweaters are sold in a month, how many jackets are sold in the same time period?

Answer 1

Solution:

Given:

$\begin{gathered} \text{Ratio of sweaters to jacket = 7:3} \\ N\text{ umber of sweaters sold in a month=168} \\ \text{Let the number of jackets sold in the same time period be represented by x} \end{gathered}$

Hence,

$\begin{gathered} \text{Sweaters:jackets}=7\colon3=168\colon x \\ 7\colon3=168\colon x \\ \frac{7}{3}=\frac{168}{x} \\ \text{Cross multiplying the expression,} \\ 7\times x=3\times168 \\ 7x=504 \\ \text{Dividing both sides by 7;} \\ x=\frac{504}{7} \\ x=72 \end{gathered}$

Therefore, the number of jackets sold in the same time period is 72.