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.

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.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is