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 🤗

2 Answers
Mar 23, 2018

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

Mar 23, 2018

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!