Question

tía 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 amount of cups and plates,but plans to buy the least number of packages possible.how much tia expect to pay if each package of cups is $3 and each package of plates is $5?

Answer 1

cups (in packs of 12) : 12,24,36,48,60 === this is 5 packs (60 cups)
plates (in packs of 10) : 10,20,30,40,50,60 === this is 6 packs (60 plates)

5 packs of cups (60 cups) at $3 per pack = (5 x 3) = $ 15
6 packs of plates (60 cups) at $5 per pack = (5 x 6) = $ 30
she would be expected to pay : (30 + 15) = $ 45

Answer 2

$45

Explanation:

We are given that Tia is buying paper cups and plates.

Number of cups in one package=12

Number of plates in one package=10

We have to find how much Tia expect to pay if each package of cups is $3 and each package of plates is $5.

According to question

`12=2* 2* 3`

`10=2* 5`

LCM=
`2* 2* 3* 5=60`

Total number of cups buys by Tia =60

Total number of plates buys by Tia=60

Number of packages of cups =
`(60)/(12)=5`

Number of packages of plates=
`(60)/(10)=6`

Cost of each package of cups =$3

Cost of 5 packages of cups =
`3* 5=`$15

Cost of 6 packages of plates =
`5* 6`=$30

Total cost=15+30=$45

Hence, Tia expect money to pay=$45