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The volleyball team raised $350 from its fundraiser. It wants to buy jerseys and volleyballs. The jerseys cost $12 each, and the team needs 22 jerseys. Volleyballs cost $15 each. What is the maximum number of volleyballs the team can buy and still have money left? Write your answer and explain the steps you took.

Respuesta :

The team can buy 5 volleyballs. I wrote the inequality (12)(22) + 15n < 350, then did the multiplication first. I used the subtraction and division properties of inequality to isolate the variable to find that n is less than about 5.73. I rounded down to 5, since you can’t buy part of a volleyball.

With the amount raised of $350, and jerseys bought at $12 are 22, the

maximum number of volleyballs the team can buy are 5 volleyballs.

How can the number volleyballs bought be calculated?

Given parameters;

The amount the volleyball team raised = $350

Cost of a jersey = $12

Number of jerseys needed = 22 jerseys

Cost of each volleyball = $15

Required:

The maximum number of volleyball the team can buy and still have some money left.

Solution:

The cost of 22 jerseys = 22 × $12 = $264

Amount remaining = $350 - $264 = $86

Dividing the amount left by the number of volleyballs bought, we have;

[tex]Maximum \ number \ of \ volleyball \ bought = \mathbf{ \dfrac{\$86 }{\$15 \, per \ volleyball}} \approx 5.7 \overline{3}[/tex]

Given that the number of volleyballs are whole numbers, we have;

  • The maximum number of volleyball bought = 5 volleyballs

The cost of 5 volleyballs = 5 × $15 = $75

The amount of money left = $86 - $75 = $11

Learn more about division of numbers here:

https://brainly.com/question/9444983