Question

There are 114 cans of soup in a grocery store. The ratio of large cans of soup to small cans of soup is 12:7. A customer buys 2 large cans of soup. What is the new ratio of large cans of soup to small cans of soup in the grocery store? Choose all the correct answers. A. 3:5 B. 5:3 C. 8:5 D. 10:7 E. 35:21 F. 37:21

Answer 1

The ratio of the large cans to small cans shows the distribution of both cans

The new ratio of large cans of soup to small cans of soup in the grocery store is (b) 5 : 3 and (e) 35: 21

How to determine the ratio?

The given parameters are:

Ratio = 12 : 7

Rewrite as:

Large : Small= 12 : 7

The number of cans is given as:

Can = 114

So, the distribution of the cans are:

Large = 12/(12 + 7) * 114

Large = 72

Small = 7/(12 + 7) * 114

Small = 42

When 2 large cans are purchased, the remaining number of cans are:

Small = 42

Large = 70

Express as ratio

Large : Small = 70 : 42

Simplify

Large : Small = 35 : 21

Large : Small = 5 : 3

Hence, the new ratio  is (b) 5 : 3 and (e) 35: 21

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