X + Y = 38

We know that the total of rackets is 100, and that they come in packages of 2 or 3.

Thus 2X + 3Y = 100.

Now you need to solve these two equations by substitution.

Try it, and the scroll down to check your answer.

Y = 24, X = 14.

If this or another answer here proves helpful in your research, you can encourage good answers by choosing one answer as the “best answer.”

Cheers,

Bruce

method:

cartons with 3 rackets – X

cartons with 2 rackets – Y

So

3X+2Y=100

which means X number of cartons multiply with 3 rackets and so on.

X+Y=38 because the total num of cartons are 38.

do the simultaneous equation.

X+Y=38

so X=38-Y

substitute that X=38-Y into the first equation:

3(38-Y)+2Y=100

114-3Y+2Y=100

114-100=Y

Y=14

IF Y=14, THEN X=24

24×3=72

14×2=28

72+28=100

Next time pay attention in class so you can do your own homework.

14 of the 2 racket size