Mr. Lincoln buys juice and water for the school picnic. A pack of 8 juice boxes ca $5. A pack of 6 water bottles costs $3. Mr. Lincoln spends $95 for 170 juice boxes

and bottles of water.

a. Choose variables for the two unknown quantities in the problem and tell wha

each variable represents.

b. Use the variables you chose in problem 3a to write an equation for the amour

of money Mr. Lincoln spends.

c. Use the variables you chose in problem 3a to write an equation for the numbe

of drinks Mr. Lincoln buys.

d. Solve the system of equations. How many packs of juice boxes and how many

packs of water does Mr. Lincoln buy? Show your work.

SOLUTION

my

5x + 3y = 95

8x + 6y = 170

x = 10 ; y = 15

Step-by-step explanation:

Let :

x = pack of juice boxes

y = pack of water bottles

Pack of juice box = $5

Pack of water bottles = $3

Amount of money spent :

5x + 3y = $95

Number of drinks purchased :

8x + 6y = 170

Using both equations ;

5x + 3y = 95 - - - (1)

8x + 6y = 170 - - - (2)

Multiply (1) by 6 and (2) by 3

30x + 18y = 570

24x + 18y = 510

Subtract :

6x = 60

x = 60 / 6

x = 10

Put x = 10 in (1)

5(10) + 3y = 95

50 + 3y = 95

3y = 95 - 50

3y = 45

y = 45 / 3

y = 15

x = 10 ; y = 15

first, we define the variables:

x: number of years after 1950

f (x): amount of vinyl sold.

then, with the variables defined, we have:

68594 vinyl records were sold in 1958 > f (8) = 68594

91299 vinyl records were sold in 1961 > f (11) = 91299

38720 vinyl records were sold in 1952 > f (2) = 38720

161743 vinyl records were sold in 1967 > f (17) = 161743

read more on -

step-by-step explanation:

24

step-by-step explanation:

the graph shows 30% of students walk. 80 students were questioned, so the number that said they walk is

30% × 80 = 0.30 × 80 = 24