# Question #2738e

##### 1 Answer

#### Explanation:

The trick here is to realize that Anastasia's father is actually **scaling up** the number of items on the shopping list to

In other words, Anastasia's father is using a **proportion** to express the number of items the two already have on their list.

Notice that he says

We already have#60color(red)(%)# of the items on our list

Her father expresses the number of items they have in the shopping cart as a **percentage**. This sign

#color(red)(%)#

means **out of**

#60color(red)(%) = "60 items" color(white)(.) color(red)("out of 100")#

in their shopping cart.

Now, Anastasia counted **would have been equal to** **if they would have had a total of**

In other words, these

This is why I said that her father is using a *proportion* to tell her how many items they have in the cart.

#"12 items bought"/"total number of items" = "60 items bought"/"100 items"#

All you have to do now is cross multiply to find the number of items they have on the list

#"total number of items" = (12 color(red)(cancel(color(black)("items bought"))))/(60color(red)(cancel(color(black)("items bought")))) * "100 items"#

#color(darkgreen)(ul(color(black)("total number of items " = " 20 items")))#

Therefore, you can say that Anastasi and her father have