Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and one 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink?

Complete Question

Max buys six donuts and a 300ml carton of juice for $3.50,susie buys four donuts and two 300ml carton of juice for $3.00,ben buys eight donuts and five 300ml carton of juice for $6.50 How much is one donut? How much is one carton of drink

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

Step-by-step explanation:

Let the cost of

1 donut = x

300ml carton of juice = y

Max buys six donuts and a 300ml carton of juice for $3.50

6x + y = 3.50Equation 1

y = 3.50 - 6x

Susie buys four donuts and two 300ml carton of juice for $3.00

4x + 2y = 3 Equation 2

Ben buys eight donuts and one 300ml carton of juice for $6.50

8x + 5y = 6.50Equation 3

We substitute 3.50 - 6x for y in Equation 2

4x + 2y = 3 Equation 2

4x + 2(3.50 - 6x) = 3

4x + 7 - 12x = 3

Collect like terms

4x - 12x = 3 - 7

-8x = -4

x = -4/-8

x = $0.50

Solving for y

y = 3.50 - 6x

y = 3.50 - 6(0.50)

y = 3.50 - 3.00

y = $0.50

Therefore:

The cost of

1 donut = x = $0.50

300ml carton of juice = y = $0.50

the best buy, is the 4- kilogram bag of lollipops for $18.40.

step-by-step explanation:

i found my answer by dividing the cost of each bag by their respective weights.

14.88 divided by 2 = 7.44

17.29 divided by 3 = 5.77

18.4 divided by 4 = 4.6

24.4 divided by 5 = 4.88

by this, i found that the 4 kilo bag is the best buy.