Question

Lesson 17 Practice Problems

3. Cups are sold in packages of 8. Napkins are sold in packages of 12.

a. What is the fewest number of packages of cups and the fewest number of packages

of napkins that can be purchased so there will be the same number of cups as

napkins?

b. How many sets of cups and napkins will there be?

Answer 1

Answer:

(a) we get that the fewest number of packages of cups and napkins should buy is 24.

(b) Number of sets of 3 packages of Cups and 2 packages of Napkins will be there.

Step-by-step explanation:

Given that,

Cups are sold in packages of 8.

Napkins are sold in package of 12.

To find:- (a) What is the fewest number of packages of cups and the fewest number of packages  of napkins that can be purchased so there will be the same number of cups as  napkins?

From the Question,

We have to least number of packages of cups and napkins So, we find the

L.C.M of the given data because it provide the least common multiple.

So, L.c.m of 8 & 12 is

                                          $8= 2\times 2\times2$

                                          $12= 2\times2\times3$

                                   $L.c.m = 2\times2\times2\times3 = 24$

Here we get that the fewest number of packages of cups and napkins should buy is 24.

(b) How many sets of cups and napkins will there be?

Again,

Number of packages of cups should buy = $\frac{24}{8} = 3$

Number of packages of Napkins should buy = $\frac{24}{12} = 2$

Hence

Number of sets of 3 packages of Cups and 2 packages of Napkins will be there.