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

To find the number of red balloons Carter has, subtract the number of black and white balloons from the total number, using fractions to represent the proportion of black and white balloons. Multiply the total number of balloons by the fraction representing red balloons to find the number of red balloons.

Step-by-step explanation:

To find the number of red balloons Carter has, we need to subtract the number of black and white balloons from the total number of balloons. Since 4/12 are black and 3/12 are white, we can add these fractions together to find the total fraction of balloons that are either black or white: 4/12 + 3/12 = 7/12.

To find the fraction of balloons that are red, we can subtract the fraction of black and white balloons from 1 (since the sum of all fractions should equal 1): 1 - 7/12 = 5/12.

To find the actual number of red balloons, we can multiply the total number of balloons (60) by the fraction of red balloons: 60 x 5/12 = 25 red balloons.

Answer 2

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