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

Mathematics

Gianni Dougherty

21 December, 18:37

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?

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Answers (1)

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Hodges · Answer 1

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?

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?