Tia is buying paper cups and plates. cups come in package of 12 ,and plates come in package of 10.she wants to buy the same number

4 answers
Question:

Tia is buying paper cups and plates. cups come in package of 12 ,and plates come in package of 10.she wants to buy the same number of cups and plates but plans to buy the least number of package possible. how much should tia expect to pay if $3 and each package of plates is $ 5 . explain

Answers

$90 because you’d need 120 of each and you’d have to buy 10 packages of cups and 12 packages of plates and 3x10=30 and 5x12=90

Calculate the lowest common multiple of 12 and 10.
[tex]12=2 \cdot 2 \cdot 3 \\
10= 2 \cdot 5[/tex]
The lowest common multiple is [tex]2 \cdot 2 \cdot 3 \cdot 5 = 60[/tex].

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.
[tex]5 \cdot 3\$ = 15 \$ \\
6 \cdot 5\$= 30 \$ \\ \\
15\$ + 30\$= 45\$[/tex]

She should expect to pay $45.

Taking LCM OF 12 and 10
12×5=60
10×6=60
i,e ⇒5 packet of cup
  ⇒6 packet of plate


What I did to start with was to find the lowest number that both 12 and 10 could divide into, that number is 60.

I know 60 divided by 12 is 5 and I know that 60 divided by 10 is six.

Then I took 5 and multiplied it by 3 and got 15. I did this step because you need 5 packages of cups and each package cost 3 dollars.

Next I took 6 and multiplied it by 5 and got 30. I did this step because you need 6 packages of plates and each package cost 5 dollars.

You would then take 30 dollars and 15 dollars and add them together to get your total.

The answer is 42 dollars. 

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