Question

Carter has 60 balloons. 4/12 of the balloons are black, and 3/12 of the balloons are white. The rest of the balloons are red. Which series of calculations shows how many red balloons Carter has?

Answer 1

Let

B------------> black balloons
W-----------> white balloons
R-----------> red balloons

Step 1
calculate the amount of black  balloons and white balloons
the total of balloons is 60
B=(4/12)*60=20 balloons
W=(3/12)*60=15 balloons

Step 2
calculate the amount of red balloons
R=60-[B+W]---------> R=60-[20+15]
R=60-(35)=25 balloons

the answer is 25 red balloons

Answer 2

The number of red balloons is 15.

Ratio and proportion

A ratio is an ordered pair of numbers a and b where b does not equal 0.

A proportion is an equation in which two ratios are set equal to each other.

Given

Carter has 60 balloons.

4/12 of the balloons are black, and

3/12 of the balloons are white.

To find

How many red balloons does Carter have?

How to calculate the number of red balloons?

The black balloon will be

$\rm Black\ balloon = \dfrac{4}{12} *60\\\\Black\ balloon = 20$

The white balloon will be

$\rm White\ balloon = \dfrac{3}{12} *60\\\\White\ balloon = 15$

Then the sum of all red, white, and black balloons is 60. Because Carter has 60 balloons.

$\begin{aligned} \rm Red + White + Black &= 60\\\rm Red + 15+20 &= 60\\\rm Red &= 15\\\end{aligned}$

Thus the number of red balloons is 15.

More about the ratio and proportion link is given below.

https://brainly.com/question/165414