Answer:
30 grapes
Step-by-step explanation:
If Beth adds 3 grapes for every 2 strawberries, the ratio of grapes to strawberries is 3 : 2.
To determine the number of grapes (x) Beth will use if she uses 20 strawberries, we can set up a proportion using the given ratio:
[tex]\begin{aligned}\dfrac{3 \text{ grapes}}{2 \text{ strawberries}} &= \dfrac{x \text{ grapes}}{20 \text{ strawberries}}\\\\\dfrac{3}{2}&=\dfrac{x}{20}\end{aligned}[/tex]
To solve for x, begin by cross-multiplying:
[tex]\begin{aligned}3 \times 20 &= 2 \times x\\\\60&=2x\end{aligned}[/tex]
Now, divide both sides by 2:
[tex]\begin{aligned}\dfrac{60}{2}&=\dfrac{2x}{2}\\\\30&=x\end{aligned}[/tex]
Therefore, Beth will use 30 grapes if she uses 20 strawberries.
Answer:
30 grapes
Step-by-step explanation:
Let's solve this question using ratios:
3:2
Every 2 strawberries, there are 3 grapes.
In order to find out how many grapes she will use if there are 20 strawberries, we have to multiply each side of the ratio by 10 .
This works because 10 x 2 is equal to 20 strawberries.
[tex]3:2 = 30 : 20[/tex]
If there are 20 strawberries, there are going to be 30 grapes.
Another way to find out how many grapes are used is by using a method called " cross-multiplying ".
Let's set it up:
[tex]\frac{3 (grapes)}{2(strawberries)} = \frac{x(grapes)}{20(strawberries)}[/tex]
To determine x(grapes) we have to cross multiply diagonally.
3 x 20 = 2 * x
Simplify the equation
60 = x * 2
Make 2 go on the other side.
60 / 2 = x
Simplify the equation.
30 = x
Therefore, Beth will use 30 grapes if she uses 20 strawberries for her fruit salad.
