Word Problem- How much did they charge for each drink?

Question

1. They sold 48 bottles of water
2. & 24 sodas. They made $30

1. Sam bought 2 sodas and 1 water. It cost him $1.60

1. how much did each drink cost?

Answer 1

Let us assume unit cost of water is w ($) and unit cost of soda is s ($)

so

from the word problem , the following is a valid equation

48w+24s= $30

From the 2nd part of word problem, this is also true

1w+2s =$1.60

Multiplying both sides of 2nd equation by 12, we get

12w+24s=$19.20

Subtracting the 2nd equation from the first equation, we get

36w=$10.80

so w=30cents

so each bottle of cost of water is 30 cents.

plugging the answer for w=0.30 into 2nd equation, one can easily find

2s=$1.30

Thus, Each bottle of soda costs $0.65

and each bottle of water costs $0.30

Answer 2

Let S=cost of soda and W=cost of water

Translate English to equations

24S+48W=30

2S+W=1.6

Divide the first equation by 6 and the multiply the 2nd equation by 2:

4S + 8W = 5

4S+2W=3.2

Subtract the 2nd equation from the 1st:

6W=1.8

W=.30

and S=(1.60-.30)/2=.65

Use these answers in the original equation to make sure they are correct.

Answer 3

Hi Selena,

let w = no of water bought, and s = no of soda bought

and we can set up 2 equations for the total cost based on the info given

48w + 24s = 30

w + 2s = 1.6

we can solve these using elimination

we multiply the 2nd equation by 12 to become

12w + 24s = 19.2

and we can subtract the equations to eliminate s

you should then get 36w = 10.8

now you can solve for w, and then substitute w into one of the equation to solve for s

Hope it helps!