Question

a potter is making cups and saucers. each cup takes c minutes to produce, and each saucers takes s minutes. Th epotter can produce three cups and two saucers in 19 mnutes

Answer 1

1) 3c+2s=19

4c+5s=30

2) c=5 s=2

3)42minutes

Explanation:

The potter need 3c minutes to make three cups and 2s to make two saucers, then he needs 3c+2s minutes to make both of them

3c+2s=19

He needs 4c+5s minutes to produce 4 cups and 5 saucers

4c+5s=30 (half of an hour is 30 minutes)

So the equations are

3c+2s=19

4c+5s=30

2) to solve you should express c from the first equation and use it in the second equation

3c=19-2s

c=19/3-(2/3)*s

4(19/3-(2/3)*s) +5s=30

76/3-(8/3)*s+5s=30

(7/3)*S= (14/3)

s=2

3c=19-4

3c=15

c=5

3) 6c+6s= 6(c+s)= 6(5+2)=6*7=42