Question

5c+4p=18.40 2c+4p=11.20

Answer 1

c = 2.4

p = 1.6

Explanation:

Given:

5c+4p=18.40

2c+4p=11.20

-1(2c+4p=11.20) <-- Distribute -1 so that you can cancel out p

-2c-4p=-11.20

5c+4p=18.40

+ -2c-4p=-11.20 <-- Add/simplify like terms

3c = 7.2 <-- Isolate c by dividing

c = 2.4

Now that we have c, we can find p

5c+4p=18.40

5(2.4)+4p=18.40 <-- Sub in 2.4 for c

12+4p=18.40 <-- Combine like terms in one side

4p=6.4 <-- Isolate p by dividing

p = 1.6