Question

Donata bought 4 lemons and 4 plums at the local supermarket for a total of $ 21.60. Dan bought 11 lemons and 6 plums at the same store for a total of $40.90 how much does one lemon cost. .... helppppp. How Much does 1 plum cost?

Answer 1

Each lemon costs $1.70. Each plum costs $3.70.

Explanation:

You have two unknowns and two statements about costs. First, define a variable for each unknown. Then, translate the statements about the costs into two equations. Then, solve the system of equations.

Let L = price of 1 lemon

Let P = price of 1 plum

Donata:

4 lemons and 4 plums for $21.60

4L + 4P = 21.6 Equation 1

Dan:

11 lemons and 6 plums for $40.90

11L + 6P = 40.9 Equation 2

Here is the system of equations.

4L + 4P = 21.6 Equation 1

11L + 6P = 40.9 Equation 2

Divide both sides of Eq. 1 by 4.

L + P = 5.4

Multiply both sides by -6.

-6L - 6P = -32.4

Add the equation above to the Eq. 2.

5L = 8.5

L = 8.5/5

L = 1.7 <------- price of a lemon

L + P = 5.4

1.7 + P = 5.4

P = 3.7 <------ price of a plum

Each lemon costs $1.70. Each plum costs $3.70.