A varsity boy's basketball team has ratio of seniors to juniors that is 7:4. 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?

Girl's basketball team has more seniors

Step-by-step explanation:

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

Let there are 7x seniors and 4x juniors in boy's basketball team.

ATQ,

7x+4x = 12

11x = 12

x = 12/11

Seniors =

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

Let there are 7x seniors and 4x juniors in girl's basketball team.

3x+2x = 12

5x = 12

x = 12/5

Seniors =

As we can see that girl's basketball team has more seniors as compared to the boy's team.

arrange the equations with like terms in columns.

analyze the coefficients of x or y.

add the equations and solve for the remaining variable.

substitute the value into either equation and solve.

check the solution.

step-by-step explanation:

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