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Question 1098685: Phoebe decided she wanted to buy pizza for her friends and herself to eat at her birthday
party. The three most popular toppings chosen were Meat Lovers, Supreme, and
Hawaiian. If the ratio of Meat Lovers pizzas to Supreme pizzas was 3:2.4, and the ratio of
Hawaiian pizzas to Supreme pizzas was 1:2, what is the least number of pizzas Phoebe
could have ordered?
Answer by ankor@dixie-net.com(22740)   (Show Source):
You can put this solution on YOUR website! Phoebe decided she wanted to buy pizza for her friends and herself to eat at her birthday party.
The three most popular toppings chosen were Meat Lovers, Supreme, and
Hawaiian.
If the ratio of Meat Lovers pizzas to Supreme pizzas was 3:2.4,
let x = the 1st multiplier
then
3x = no. of Meat Lovers
2.4x = no. of Supremes
the ratio of Hawaiian pizzas to Supreme pizzas was 1:2,
let y = 2nd multiplier
1y = no. Hawaiian pizza's
2y = no. of Supremes
therefore
2y = 2.4x
y = 2.4x/2
y = 1.2x
therefore
1.2x = no. of Hawaii pizzas
2.4x = no. of Supremes
3x = no. of Meat lovers
What is the minimum value for x that will make all the numbers integers
x = 5, then
3(5) = 15 Meatlovers
2.4(5) = 12 Supremes
1.2(5) = 6 Hawaiian
:
what is the least number of pizzas Phoebe could have ordered? 15, 12, 6
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