Question

a recipe for a fruit smoothie drink act for strawberries and raspberries. the ratio of strawberries to raspberries in the drink is 6 to 12 . what percent of the berries and strawberries

Answer 1

We know that the ratio of strawberries to raspberries in the drink is 6 to 12. This ratio is equal to 1 to 2.

This means that for each strawberry there are 2 raspberries.

Then, we can find the percentage by assuming we need 100 berries. This is the sum of the strawberries S and raspberries R. Then we can write:

$S+R=100$

From the ratio, we know that there are 2 raspberries for each strawberry. This means that the amount of raspberries R is double the amount of strawberries.

Then, we can write:

$R=2S$

If we replace in the first equation, we get:

$\begin{gathered} S+R=S+2S=100 \\ 3S=100 \\ S=\frac{100}{3}\approx33.33 \\ R=2S\approx2\cdot33.33\approx66.66 \end{gathered}$

As 100 represents the total (100%), then we can conclude that the strawberries represent 33.33% and the rapsberries represent 66.66%.

Answer:

Raspberries: 66,66%

Strawberries: 33.33%