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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

User Rflume
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2 Answers

4 votes

Answer:

Explanation:

User Jason Hughes
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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
User Artur Bodera
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