what is the solution for the word problem?

Question

tennis rackets can be packaged in cartons holding 2 rackets each or in cartons holding 3 rackets each. Yesterday's packing slip showed that 38cartons were used to pack a total of 100 rackets. How many cartons of each size were used yesterday?

Answer 1

Let's let X = packets with 2 rackets and Y = packets with 3 rackets.

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

Answer 2

24 cartons with 3 rackets each, 14 cartons with 2 rackets each.

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

Answer 3

24 cartons were packed with 3 rackets and 14 cartons were packed with 2 rackets.

Answer 4

there were 24 cartons with 3 rackets and 14 cartons with 2.
24x3=72
14x2=28
72+28=100
Next time pay attention in class so you can do your own homework.

Answer 5

24 of the 3 racket size and
14 of the 2 racket size

Answer 6

corey and nicole spent $17.00 including sales taxon 2 sandwhiches and 3 slices of pizza. the sandwhiches cost$5.25 each and the the total sales tax was $0.92. how much dideach slive of pizza cost ?