Question

Tia is buying paper cups and plates. Cups come in packages of 12,and plates come in packages of 10. She wants to buy the same number of cups and plates, but plans to buy the least number of packages possible. How much should Tia expect to pay if each package of cups is $3 and each package of plates is $5? Explain. (Thanks for your help) :)

Answer 1

She should expect to pay $45 dollars

Explanation:

Calculate the lowest common multiple of 12 and 10.

The lowest common multiple is .

Therefore she should get 5 packages of cups and 6 packages of plates in order to buy the same number of cups and plates.

A package of cups is $3 and a package of plates is $5.

She should expect to pay $45.

Answer 2

Calculate the lowest common multiple of 12 and 10.

`12=2 \cdot 2 \cdot 3 \\ 10= 2 \cdot 5`
The lowest common multiple is
`2 \cdot 2 \cdot 3 \cdot 5 = 60`.

Therefore she should get 5 packages of cups and 6 packages of plates in order to buy the same number of cups and plates.

A package of cups is $3 and a package of plates is $5.

`5 \cdot 3\$ = 15 \$ \\ 6 \cdot 5\$= 30 \$ \\ \\ 15\$ + 30\$= 45\$`

She should expect to pay $45.