Acompany produces packs of pencils and pens. • the company produces at least 30 packs of pens each day but no more than 40.• the company produces at least 80 packs of pencils each day, but no more than 110.• a total of less than 130 packs of pens and pencils are produced each day.• each pack of pens makes a profit of 2.20• each pack of pencils makes a profit of 1.25what is the maximum profit the company can make each day?

200.5

As per the question,

30 <= No. of packs of PEN <= 40

80 <= No. of packs of PENCIL <= 110

Total packs per day < 130

Profit per pack of pen = 2.20

Profit per pack of pencil = 1.25

For maximum profit, we should have maximum number of packs of PEN, 40

no. of packs of pencil = 130 - 40 = 90

so, total profit = 40*2.2 + 90*1.25 = 200.5

75 tickets have been sold so far.

step-by-step explanation:

in this question it is clearly mentioned that 45 children's tickets have been sold and this number is 60% of the total tickets sold.

now let's assume the total number of tickets sold be x.

then 60% of x = 45

⇒

⇒ x(.6) = 45

by dividing with .6 on both the sides of the equation

⇒ x = 75

therefore 75 tickets have been sold so far.

combine all like terms then its just a 2 step equation