Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.

How many bats and gloves did the team purchase each year?

Question

21-01-2017
Mathematics

Answered

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.

How many bats and gloves did the team purchase each year?

Verified Answer :

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1203ZGD 1203ZGD · Answer 1 · 2017-01-21T23:37:12-05:00

20x + 12y = 1040
Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-12y' to each side of the equation.
20x + 12y + -12y = 1040 + -12y

Combine like terms: 12y + -12y = 0
20x + 0 = 1040 + -12y
20x = 1040 + -12y

Divide each side by '20'.
x = 52 + -0.6y
thats the first part
then we have
25x + 16y = 1350
Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.
Add '-16y' to each side of the equation.

25x + 16y + -16y = 1350 + -16y

Combine like terms:
16y + -16y = 0
25x + 0 = 1350 + -16y

25x = 1350 + -16y

Divide each side by '25'.
x = 54 + -0.64y

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.How many bats and gloves did the team purchase each year?

Verified Answer :

Related Questions

Last year a baseball team paid $20 per bat and $12 per glove spending a total of $1040 this year the prices went up to $25 per bat and $16 per glove. The team spent $1350 to purchase the same amount of equipment as last year.

How many bats and gloves did the team purchase each year?