Question

Someone help I have no clue how to do this

Answer 1

Using proportions, it is found that their mom put 90 candies in the bowl.

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

For this problem, the total amount is of x, hence, from the text:

• Tom's fraction is $\frac{1}{2}x$.

• Carlos' fraction is $\frac{1}{3} \times \frac{1}{2}x = \frac{1}{6}x$.

• Mary's fraction was of: $\frac{3}{5} \times \left(x - \frac{x}{2} - \frac{x}{6}\right) = \frac{1}{5}x$

The remaining fraction after Mary was:

$x - \frac{x}{2} - \frac{x}{6} - \frac{x}{5} = \frac{30x - 15x - 5x - 6x}{30} = \frac{2x}{15}$

This amount is of 12, hence the total number of candies was:

2x/15 = 12

2x = 15 x 12

x = 15 x 6

x = 90.

More can be learned about proportions at brainly.com/question/24372153

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