Question

The most common junior girl's clothing size is reported to be a Medium. Stores use a table like the one below to decide howmany size Mediums to buy when it places an order on a new clothing Item.Total number itemsordered 406080Size Medium toorder101520PART AWhat is the ratio of the number of size medium items the store should order to the the total number of items being ordered? List the ratio in simplest form, without labels. Enter your answer with colon (e.g. 1:1)____PART BWhat percent of each order will be size medium items?____

Answer 1

Part A)

To find the ratio, find the total amount of items and the tota amount of medium size items by adding the numbers of the columns:

`\begin{gathered} \text{Total number of ordered items }=40+60+80 \\ =180 \end{gathered}`
`\begin{gathered} \text{Total medium size items }=10+15+20 \\ =45 \end{gathered}`

Next, divide the total amount of medium size items by the total amount of items and simplify the fraction:

`(45)/(180)=(1)/(4)`

Therefore, the ratio is 1:4.

Part B)

To find the percentage, write the ratio in a decimal representation and multiply it by 100:

`\begin{gathered} (1)/(4)=0.25 \\ 0.25\cdot100=25 \end{gathered}`

Therefore, 25% of each order will be size medium items.