Question

3. Mr. Sanchez’s class sold fruit pies for $1.55 each and Mr. Kelly’s class sold bottles of fruit juice for $1.40 each. Together, the classes sold 60 items and earned $88.20 for their school. Write and solve a system of equations that model the problem. Show all your work.

Answer 1

Explanation:

1. first you know haw much they both were
2. then they sold 60
3. so you have to do 1.40,60 times
4. and then you do 1.55,60 times

Answer 2

The equations are

a + b = 60 ..................................................equation(i)

1.55(a) + 1.40(b) = 88.20 ....................................equation(ii)

The number of pies sold is 28 while the number of juice sold is 32.

Explanation:

Mr Sanchez class sold pies for $ 1.55 each while Mr Kelly class sold juice for $ 1.40 each. Together both classes sold 60 items(pies and juice) and earned a combined total of $ 88.20.

Let the number of pies sold = a

let the number of juice sold = b

The total number of pies and juice sold can be represented as

a + b = 60 ..................................................equation(i)

The accumulated amount in dollars sold for both pies and juice can be represented as

1.55(a) + 1.40(b) = 88.20 ....................................equation(ii)

Two equation have been formed, so it is a simultaneous equation. The value of a and b can be gotten from the equations.

a + b = 60

1.55(a) + 1.40(b) = 88.20

Make a the subject of the formula in equation (i)

a = 60 - b

Substitute the value of a in equation (ii)

1.55(60-b) + 1.40(b) = 88.20

93 - 1.55b + 1.40b = 88.20

93 - 0.15b = 88.20

0.15b = 93 - 88.20

0.15b = 4.8

b = 4.8/0.15

b = 32

Substitute b in equation (i)

a + b = 60

a + 32 = 60

a = 60 - 32

a = 28

The number of pies sold is 28 while the number of juice sold is 32.