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

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 \\ (7)/(3)=(168)/(x) \\ \text{Cross multiplying the expression,} \\ 7* x=3*168 \\ 7x=504 \\ \text{Dividing both sides by 7;} \\ x=(504)/(7) \\ x=72 \end{gathered}`

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