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 will purchase is half the number of gloves they will purchase If they have $700 how many of each can they buy? what is the problem asking you to find?

Answer 1

Bats = 6.32 or 6 units.

Gloves = 12.73 or 12 units.

The problem asks you to find the number of bats and gloves that the Baseball team can buy with 700$.

Answer:

According to the problem:

Costs:

Bats (B) = $60/unit

Gloves (G) = $25/unit

Relation (The number of bats will purchase is half the number of gloves):

B = G/2

And, since the total amount they have is $700:

`700=60\cdot B+25\cdot G`

We can use the relation B = G/2 to find G.

`\begin{gathered} 700=60\cdot(G)/(2)+25\cdot G \\ 700=30\cdot G+25\cdot G \\ 700=55\cdot G \\ (700)/(55)=G \\ G=12.73 \end{gathered}`

The number of gloves is 12.73 or 12 (since it is not possible to buy 0.72 gloves).

The number of bats can be found using the relation:

`\begin{gathered} B=(G)/(2) \\ B=(12.73)/(2) \\ B=6.36 \end{gathered}`

The number of bats they can buy is 6.36 or 6 (since it is not possible to buy 0.36 baths).

In summary,

They can buy:

Bats = 6.32 or 6 units.

Gloves = 12.72 or 12 units.