Question

Mister Lincoln by juices and water for the school picnic a pack of their juices box cost $5 about the six water bottles cost $3 Mister Lincoln spends $94 for a Hyundai Sonata juice boxes and bottled water.

Answer 1

10 packs of juice and 15 packs of water was bought by Mr. Lincoln

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