Question

The Panthers baseball team needs new equipment. They plan to purchase bats that cost $60 each and gloves that cost $25 each. The number of bats they will purchase is half the number of gloves they will purchase. If they have $700, how many of each can they buy?

Answer 1

Therefore, they can buy

6.36 bats and 12.72gloves

Explanation:

Let us represent:

The number of bats purchased = b

The number of gloves purchased = g

We are told in the question that:

The number of bats they will purchase is half the number of gloves

b = 1/2g

b = g/2

g = 2b

The teams plan to purchase bats that cost $60 each and gloves that cost $25 each. they will purchase. If they have $700, how many of each can they buy?

Hence:

$60 × b + $25 × g = $700

= 60b + 25g = 700

We substitute 2b for g

60b + 25(2b) = 700

60b + 50b = 700

110b = 700

b = 700/110

b = 6.3636363636

b = 6.36 bats

Therefore, the number of bats they can buy = 6.36 bats

Remember:

g = 2b

b = 6.36

Hence,

g = 2 × 6.36

g =12.72

Therefore, the number of gloves = 12.72 gloves