Acatering company’s recipe for salad uses a ratio of 2 c of dressing to 4 lb of vegetables (a) write a ratio of dressing to vegetables as a reduced fraction (b) how many cups of dressing would they need for 16 lb of vegetables? show your work

Answers:

A. 1c/2lb

B. 8 cups of dressing

SOLUTION

Given that a catering company’s recipe for Salad uses a ratio of 2c of dressing to 4 lb of vegetables

A. Write a ratio of dressing to vegetables as a reduced fraction

A reduced fraction is the expression of a ratio in its simplest fractional form

Dressing: Vegetable = 2c : 4 lb

 In fractional form, 2c/4lb

2 is a common factor to both numerator and denominator

Therefore, in reduced fractional form,

2c/4lb = 1c/2lb

Therefore, ratio of dressing to vegetables as a reduced fraction is 1c/2lb

B. How many cups of dressing would they need for 16 lb of vegetables

1c = 2lb

16lb = ?

Since 1c = 2lb

2lb = 1c

1lb = 1/2 c

16lb = 16(1/2)c

16lb = 8c

Therefore, they would need 8 cups of dressing for 16 lb of vegetables