Monique wants to have an equal number of cups and napkins. What is the least number of packages of cups and the least number of napkins Monique should buy to have an equal number of cups and napkins? Justify your answer. Cups- $2.50 , 12 per package. Napkins- $4.25 , 10 per package.

You would have to buy 5 packs of cups and 6 packs of napkins.

Step-by-step explanation:

The least number of both cups and napkins you would have to buy to have an equal number would be 60.

Cups:

12x5=60

Napkins:

10x6=60

:>

5 packs of cups, 6 packs of napkins

Step-by-step explanation:

To solve this question, you need to find the least common multiple (LCM) of 12 and 10. The LCM is the lowest number that is a multiple of both of those numbers (for example, the least common multiple of 2 and 4 is four, because four is a multiple of both two and four. another example would be the lcm of 2 and 3 is 6, because both numbers can multiply to 6).

So to find the LCM, we can make a table of multiples of both of these numbers and see which one is the lowest.

12: 12, 24, 36, 48, 60

10: 10, 20, 30, 40, 50, 60

See how the lowest common multiple is 60 in this case? There are other common multiples, like 120 for example, but this is the lowest one so we'll work with it instead. Let's work out how many packs it will take to get to 60 items in total.

12 x 5 = 60, so Monique should buy 5 packs of cups.

10 x 6 = 60, so Monique should buy 6 packs of napkins.

question:

could we have options?

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~