Walnuts, peanuts, and chocolate chips are mixed in a ratio of 7:2:5. What is the weight of the mixture if 2.5 lbs. of chocolate chips were used for making it?

Respuesta :

Answer:

The weight of the misture if of 7 lbs.

Step-by-step explanation:

The total misture is T.

The ratio means that:

Walnuts are responsible for 7/(7+2+5) = 7/14 = 1/2 of the weight.

Peanuts are responsible for 2/(7+2+5) = 2/14 = 1/7 of the weight.

Chocolate chips are responsible for 5/(7+2+5) = 5/14 of the weight.

2.5 lbs. of chocolate chips were used for making it:

This means that:

[tex]\frac{5T}{14} = 2.5[/tex]

[tex]5T = 14*2.5[/tex]

Simplifying by 5

[tex]T = 14*0.5[/tex]

[tex]T = 7[/tex]

The weight of the misture if of 7 lbs.

Answer:

7 pounds

Step-by-step explanation: