Say you want to provide a certain candy for Halloween. You expect around K kids to come to your house, and each kid is to be given three pieces of candy. Each bag of candy you can buy contains N pieces of candy for P dollars. Which algebraic expression will tell you how much should you expect to have to pay (M)

You expect around K kids to come to your house, and each kid is to be given three pieces of candy. This means that the total number of candies that you would buy is

3 × K = 3K

Each bag of candy you can buy contains N pieces of candy for P dollars.

Therefore,

If N pieces of candy cost $P, then

3K pieces of candy would cost $M

Therefore, the algebraic expression

to tell you how much should you expect to have to pay (M) would be

M = 3KP/N

MrRoyal MrRoyal · Answer 2 · 2022-01-18T12:45:23+01:00

The algebraic expression that tells the amount you expect to pay is [tex]\frac{3KP}N[/tex]

The given parameters are:

Kids = K
Each = 3
Unit Rate = P for N pieces i.e. P/N

The total amount paid for N pieces of candy is calculated as:

[tex]Total = Kids \times 3 \times Unit\ Rate[/tex]

So, we have:

[tex]Total = K \times 3 \times \frac PN[/tex]

Evaluate the product

[tex]Total = \frac{3KP}N[/tex]

Rewrite the above equation as:

[tex]M= \frac{3KP}N[/tex]

Hence, the algebraic expression that tells the amount you expect to pay is [tex]\frac{3KP}N[/tex]

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