a potter is making cups and saucers. each cup takes c minutes to produce, and each saucers takes s minutes. Th epotter can produ
ce three cups and two saucers in 19 mnutes
1 answer:
Answer:
1) 3c+2s=19
4c+5s=30
2) c=5 s=2
3)42minutes
Step-by-step 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
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