What is the greatest number of friends you can invite to an arcade using the coupon such that the tokens and slices of pizza are equally split between you and your friends with none left over?
A coupon of Newton’s Arcade for special offer. Two large one topping pizzas with 24 total slices and 90 tokens is offered at a cost of 44.99 dollars. At the bottom of the coupon, the text reads; Valid with coupon, only in participating U.S. stores. Cannot be combined with any offer. No cash value. Copyright BIM entertainment with expired date June 2023.
Answers
Answer:
What is the greatest number of friends you can invite to an arcade using the coupon such that the tokens and slices of pizza are equally split between you and your friends with none left over?
A coupon of Newton’s Arcade for special offer. Two large one topping pizzas with 24 total slices and 90 tokens is offered at a cost of 44.99 dollars. At the bottom of the coupon, the text reads; Valid with coupon, only in participating U.S. stores. Cannot be combined with any offer. No cash value. Copyright BIM entertainment with expired date June 2023.
Answer:
Given : Total Slices = 24
Total token = 90
tokens and the slices of pizza are equally spilt between you and your friends with none left over
To Find : greatest number of friends that can be invited
Solution:
greatest number of friends that can be invited will be = n
then total people between which slices and coupon to be distributed = n + 1
Hence n + 1 = HCF (24 , 90)
=> n = HCF (24 , 90) - 1
24 = 2 * 2 * 2 * 3 = 2³ * 3¹
90 = 2 * 3 * 3 * 5 = 2¹ * 3² * 5
HCF = product of common factors of least power
HCF = 2¹ * 3¹ = 6
n = 6 - 1 = 5
Hence greatest number of friends that can be invited is 5
Step-by-step explanation:
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