Jacque needs to buy some pizzas for a party at her office. She's ordering from a restaurant that charges a \$7.50$7.50dollar sign, 7, point, 50 delivery fee and \$14$14dollar sign, 14 per pizza. She wants to buy as many pizzas as she can, and she also needs to keep the delivery fee plus the cost of the pizzas under \$60$60dollar sign, 60. Each pizza is cut into 888 slices, and she wonders how many total slices she can afford. Let P represent the number of pizzas that Jacque buys. ------------------------------------------------------------------------------------ 2) What is the largest number of slices that Jacque can afford?

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isyllus isyllus · Answer 1 · 2020-10-11T03:44:56+02:00

Answer:

3 pizzas

24 slices.

Step-by-step explanation:

Given:

Delivery fee = $7.50

Charges per pizza = $14

Total money available with Jacque = $60

Number of slices in one pizza = 8

To find:

The number of pizzas, [tex]P[/tex] that Jacque can buy and

The number of slices, that Jacque can afford.

Solution:

Cost of one pizza = $14

Cost of [tex]P[/tex] pizzas = $14 [tex]\times P[/tex]

Out of total money of $60, $7.50 will be used as delivery charge.

Therefore, money that can be used for buying pizza = $60 - $7.50 = $52.50

Now, the money available must be greater than or equal to the cost of [tex]P[/tex] pizzas:

i.e. $52.50 [tex]\geq[/tex] [tex]\$14P[/tex]

[tex]\Rightarrow P = 3[/tex]

A maximum of 3 pizzas can be bought.

Number of slices that Jacque can afford = 3 [tex]\times[/tex] 8 = 24 slices