Question

Kyle's waffle recipe calls for 6 blueberries and 3 raspberries per waffle. After cooking a batch of waffles, I used exactly 117 berries How many of them were blueberries? Thank you 🤗

Answer 1

The count of blueberries is 78

Explanation:

Using ratio but in fraction format.

`("raspberry count") /("bluebery count") ->3/6`

For every 3 raspberries there are 6 blueberries. Thus one complete set of berries is `3+6=9`

`color(blue)("So raspberries as a "ul("fraction of the whole")" is "3/(3+6)=3/9=1/3)`

`color(brown)("Thus blueberries as a "ul("fraction of the whole")" is "1-color(blue)(1/3)=2/3"`

We are given that the total combined count of berries is 117

So the count of blueberries is `color(brown)(2/3)xx117 =78`

Answer 2

114 blueberries

Explanation:

Let `x` be the number of waffles made.

Let `6x` be the number of blueberries used.

`6x + 3x = 117` - Sum of blueberries + sum of raspberries = total sum of berries
`9x=117`
`x=117/13`
`x=19` ...We aren't done yet!

`6x =` total amount of blueberries used
`6(19) = 114` blueberries

Hope this helps!