Question

In a toy store, the ratio of the Barbie doll to Ken doll is 9:3. If the store has 240 dolls, how many Barbie dolls are there in the store?

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Answer 1

Answer and Step-by-step explanation:

The ratio of Barbie to Ken dolls is 9:3. This ratio can be further simplified using the greatest common factor. 3 is the GCF between 9 and 3, so you divide both sides of the ratio by 3:

`(9)/(3):(3)/(3)`

= 3 : 1

Meaning for every 3 Barbie dolls in the store, there is 1 Ken doll.

If the total number of dolls in the store is 240, we can use the ratio to find how many of each doll there are.

You need to add the two numbers in the ratio => 3 + 1 = 4

Then use the Barbie doll ratio side as a numerator for a fraction, divided by the total sample space, 4 => 3/4

Then multiply this fraction by the total number of dolls in the store:

`(3)/(4)*240 = 180`

Therefore, there are 180 Barbie dolls in the store

Answer 2

180 barbie dolls

Explanation:

If the ratio of Barbie doll to Ken doll is 9:3, then there are 9x Barbie dolls and 3x Ken dolls in the store. Since the total number of dolls is 240, we can write the following equation:

9x + 3x = 240

Combining like terms, we get:

12x = 240

Dividing both sides by 12, we get:

`\sf (12x)/(12)=(240)/(12)`

x = 20

Therefore, there are 9 × 20 = 180 Barbie dolls in the store.