The ratio table below describes the relationship between grapes and blueberries in a fruit salad.

Fruit Salad
Grapes
(cups)
Blueberries
(cups)
2
1
4
2
20
10
24
12

Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
6:9
8:7
10:5
12:3

1 answer

To maintain the ratio of grapes to blueberries from the table provided, we can first determine the consistent ratio from the values given.

From the table, we see that:

  • For every 2 cups of grapes, there are 1 cup of blueberries.
  • Thus, the ratio of grapes to blueberries is 2:1.

Now, if Mandie is making 15 cups of fruit salad, we need to maintain this ratio of 2:1. This means for every 2 parts of grapes, there is 1 part of blueberries.

The total parts in the ratio (2 parts grapes + 1 part blueberries) is: 2 + 1 = 3 parts.

Now, we can find out how many cups each part represents by dividing the total cups of fruit salad by the total parts: 15 cups ÷ 3 parts = 5 cups per part.

Now we can calculate the actual amounts of grapes and blueberries:

  • For grapes (2 parts): 2 × 5 = 10 cups of grapes.
  • For blueberries (1 part): 1 × 5 = 5 cups of blueberries.

Thus, the ratio of grapes to blueberries is: 10 cups of grapes : 5 cups of blueberries, which simplifies to 2:1.

Among the choices given, we notice that there is no 2:1 ratio directly listed, but we can verify the final choice:

  • 10:5 simplifies to 2:1, confirming that this is indeed the correct ratio.

Therefore, Mandie should use the ratio 10:5 for grapes to blueberries in her fruit salad.