Samuel bought three cups and four spoons for Kshs 324. Daniel bought five cups and Mary bought two sppons of the same type as those bought by Samuel. Daniel paid Kshs 228 more than Mary. Find the price of each cup and spoon.

2 answers

price of cup ---- x
price of spoon --- y

Samuel:
3x+4y=324

Daniel paid 5x for his cups
Mary paid 2y for her spoons

5x - 2y = 228

double this last equation
10x-4y=456 , add to the first
3x+4y=324
13x = 780
x = 60
back in 1st:
3(60) +4y = 324

I will let you finish it , and state the conclusion
1cup=60
1spoon=36