Question

A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water. Look at each drink mix. Does each drink mix follow the recipe? A 4 cups of fruit juice and 10 cups of water Yes No B 0.5 cup of fruit juice and 1 cup of water Yes No C 1 cup of fruit juice and 2.5 cups of water Yes No D 7 cups of fruit juice and 17 cups of water

Answer 1

Given :

• A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water.

To find :-

• To choose between yes or no .

Solution :-

According to the Question ,

• Ratio of juice : water = 2:5 .

Convert all the given ratios in the options to their simplest form .

A) 4 cups of fruit juice and 10 cups of water - Yes

• Simplest ratio = 4 : 10
• Simplest ratio = 2:5

B) 0.5 cup of fruit juice and 1 cup of water - No

• Simplest ratio = 0.5 : 1
• Simplest ratio = 1/2 : 1
• Simplest ratio = 1:2

C) 1 cup of fruit juice and 2.5 cups of water - Yes

• Simplest ratio = 1: 2.5
• Simplest ratio = 1: 5/2
• Simplest ratio = 2 :5

D) 7 cups of fruit juice and 17 cups of water - No

• Simplest ratio = 7:17

Answer 2

• A and C

Explanation:

A recipe for a fruit drink calls for 2 cups of fruit juice for every 5 cups of water.

The ratio of fruit juice / water is:

• 2/5

Options, compare the ratios with 2/5:

A) 4 cups of fruit juice and 10 cups of water

• 4/10 = 2/5 Yes

B) 0.5 cup of fruit juice and 1 cup of water

• 0.5/1 = 1/2 No

C) 1 cup of fruit juice and 2.5 cups of water

• 1 / 2.5 = 2/ 5 Yes

D) 7 cups of fruit juice and 17 cups of water

• 7/17 No