The varsity girl's basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors?

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Complete Question

A varsity boys' basketball team has a ratio of seniors to juniors that is 7:4.

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2. If each team has 12 juniors, which team has more seniors

The boys' team has more seniors

Step-by-step explanation:

If each team has 12 juniors,

Step 1

For the boys' basketball team, lets find the total number of people on the team

A varsity boys' basketball team has a ratio of seniors to juniors that is

7:4 = seniors : juniors

Sum of proportion

= 7 + 4 = 11

Let the total number of people on the team = x

Hence:

4/11 × x = 12

4x/11 = 12

Cross Multiply

4x = 11 × 12

x = 11 × 12/4

x = 33 members

The number of seniors is calculated as

33 members - 12 juniors

= 21 seniors

Step 2

For the girls' basketball team, lets find the total number of people on the team

The varsity girls' basketball team has a ratio of seniors to juniors that is 3 to 2.

= 3:2 = seniors : juniors

Sum of proportion

= 3+2 = 5

Let the total number of people on the team = x

Hence:

2/5 × x = 12

2x/5 = 12

Cross Multiply

2x = 5 × 12

x = 5 × 12/2

x = 30 members

The number of seniors is calculated as

30 members - 12 juniors

= 18 seniors

Therefore, from our above calculations, the boys' team has more seniors

341

step-by-step explanation:

all you have to do is 9x31 (which equals 279) and then 20x31 (which equals 620). then you have to subtract. 620-279=341.