asked 173k views
4 votes
Laneka owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 medium tiers and will serve a total of 100 guest . The second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guest.. what is the system

asked
User Rflume
by
8.0k points

2 Answers

4 votes

Answer:

Explanation:

answered
User Jason Hughes
by
9.0k points
4 votes

Let r = small tier and s be medium tier.
Then 3r + s = 100 ------------(1)
And 3r + 2s = 140 ------------(2)
Subtracting (2) from (1) we have
s = 40.
Substituting value for r into (1) we have
3r + 40 = 100.
3r = 100 - 40 = 60
3r = 60
r = 20.
If U = 3r + s = 100 = 3r + s - 100
Then du/dr = 3 and du/ds = 1
Also, du/dr = 3 and du/ds = 2
answered
User Artur Bodera
by
7.6k points
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