Jacque needs to buy some pizzas for a party at her office. She’s ordering from a restaurant that charges a $7.50 delivery fee and $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. Each pizza is cut into 8 slices, and she wonders how many total slices she can afford.

Q: What is the largest number of slices that Jacque can afford?

Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

(n^3 - n)

= n(n-1)(n+1)

since it is divisible by 3 and 2 ,because it is a multiple 3 consecutive number

if, n-1 is odd then n+1 is also odd, then it is a multiple of 9

but if, n-1 is even then n+1 is also even, then it is a multiple of 4

so, largest multiple = max(9*2, 4*3) = max(18, 12) = 18

step-by-step explanation: yes