A salsa recipe uses green pepper, onion, and tomato in the extended ratio 3:5:7. How many cups of tomato are needed to make 105 cups of salsa?
A. 7
B. 21
C. 35
D. 49

Respuesta :

To find the answer, we can first find out the proportion of tomato in a cup of salsa in percentage:

7/3+5+7
=7/15

We can then proceed to find the cups of tomato needed in 105 cups of salsa by multiplying the proportion to 105:

7/15×105
=7/5x3 × (5×21)
=7/3 x (3×7)
=7x7
=49

Therefore,49 cups are needed.

Hope it helps!

Ratio is the relationship between two quantities. The number of cups of tomatoes that are needed to make 105 cups of salsa is 49.

What is Ratio?

A ratio shows us the number of times a number contains another number.

Given to us

The ratio of green pepper, onion, and tomato = 3:5:7

Number of cups of salsa = 105

Let the number of cups of green pepper, onion, and tomato that is mixed by 3x, 5x, and 7x.

We know that the total number of cups of salsa that were prepared is 105 cups. and everything was mixed in the specified ratio. therefore, we can write,

3x + 5x + 7x = 105

where x represents the number of cups,

solving the above equation for x,

3x + 5x + 7x = 105

15x = 105

x = 7

The number of cups of tomatoes that is needed can be written as,

[tex]7x\\\\= 7 \times (7)\\\\ = 49[/tex]

Hence, the number of cups of tomatoes that are needed to make 105 cups of salsa is 49.

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