Answer:
10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Step-by-step explanation:
Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes costs $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes and bottles of water.
Solution:
Let x represent the number of packs of juice boxes bought by Mr. Lincoln and let y represent the number of packs of water bottles bought by Mr. Lincoln.
Each pack of juice cost $5 while each pack of water cost $3. Mr. Lincoln spends $95, therefore:
5x + 3y = 95 (1)
Each pack of juice contain 8 juice boxes and each pack of water contain 6 water bottles. Since 170 juice boxes and bottles of water was bought, therefore:
8x + 6y = 170 (2)
Solving equations (1) and (2) simultaneously. Multiply equation (1) by 2 and then subtract equation (2) from the result to get:
2x = 20
x = 10
Substitute x = 10 in equation (1):
5(10) + 3y = 95
50 + 3y = 95
3y = 45
y = 15
Hence 10 packs of juice and 15 packs of water was bought by Mr. Lincoln
Answer:
The first thing we must do for this case is to define variables.
We have then:
x: number of slices
y: total cost
We write the linear function that relates the variables.
We have then:
Then, we evaluate the number of slices to find the total cost.
-two slices cost:
We substitute x = 2 in the given equation:
Answer:
two slices = 2.2 $
-ten slices cost:
We substitute x = 10 in the given equation:
Answer:
ten slices = 11 $
-half a slice cost:
We substitute x = 1/2 in the given equation:
Answer:
half a slice = 0.55 $
Answer:
The answer to this is y=4
Step-by-step explanation:
The answer is the point at which the line intercepts the y-axis.
Hope this helped. :)
