Question

After tennis training, Andy collects twice as many balls as Roger and five more than Maria.

They collect 35 balls in total.

How many balls does Andy collect?

Answer 1

Answer:

Lets start with initializing names with variables for each Andy, Roger and Maria

Andy = A

Roger = R

Maria = M

Andy collects ‘twice as many balls as Roger’:

A = 2R — (1) First Equation

The second part of the problems states, Andy collects ‘five more than Maria’

A = 5 + M —(2) Second Equation

The third part of the problem states, ‘They collect 35 balls in total’

A + R + M = 35 —(3) Third Equation

The Real Question is How many balls does Andy collect? That means we need to find the value of A

Since First and Second equations are both equal to each other

2R = 5+M

Taking the value of M from the equation

M = 2R - 5

Now substitute this value of M in (3) equation

A + R + (2R-5) = 35

A+R+2R-5 = 35

A+3R-5=35

Taking 5 on the right side to add up both constants

A +3R = 35+5

A+3R = 40

From Equation (1) we know that A = 2R, Thus substitute it in the current equation

2R + 3R = 40

5R = 40

R = 8

Since we have to find the value of A

A = 2R from equation (1)

A = 2(8)

A = 16

Additionally, just to check if your answer is correct you can find out the balls maria had by substituting the value of A in (2) Second Equation.

A = 5 + M

16 = 5 + M

M = 16 -5

M = 11

Since we know the values of A, R and M substitute all the values in equation (3)

A + R + M = 35

16 + 8 + 11 = 35

35 = 35

Both the L.H.S and R.H.S of the equations are equal that means that value of A that we have found out is correct.