Question

The school budget allows no more than $360 to be spent on balls and bats.The cost of a ball is $6 and the cost of a bat is $24write the inequality to represent this information

Answer 1

Since the school budget allows no more than $360 to be spent on balls and bats, we have:

$\text{total cost of balls and bats, in dollars }\le360$

Now, let's call x the number of balls and y the number of bats that can be bought.

• The cost to buy x balls, in dollars, is 6x.

• The cost to buy y bats, in dollars, is 24y.

So, the total cost of balls and bats, in dollars, is 6x + 24y.

Now, we can use this expression in the above inequality to obtain the inequality:

$\mathbf{6x+24y\le360}$