Laneka owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 me

Question

3 years ago

6

Laneka owns a cake shop. She is currently preparing cakes for two anniversary parties. The first cake has 3 small tiers and 1 me

dium tier and will serve a total of 100 guests. The second one has 3 small tiers and 2 medium tiers and will serve a total of 140 guests.
1.Represent the situation with a system of equations.

2. Solve the System of equations.

Mathematics

1 answer:

ziro4ka [17] · Answer 1 · 2022-06-18T16:51:09+03:00

The solution to the equations is x=20 and y=40

Step-by-step explanation:

Let,

Small tier = x

Medium tier = y

According to given statement;

1.The situation with a system of equations.

3x+y = 100 Eqn 1

3x+2y=140 Eqn 2

2. Solving the System of equations;

$Subtracting\ Eqn\ 1\ from\ Eqn\ 2\\(3x+2y)-(3x+y)=140-100\\3x+2y-3x-y=40\\y=40\\Putting\ value\ of\ y\ in\ Eqn 1;\\3x+40=100\\3x=100-40\\3x=60\\Dividing\ both\ sides\ by\ 3\\\frac{3x}{3}=\frac{60}{3}\\x=20$

The solution to the equations is x=20 and y=40

Keywords: Linear equations, subtraction

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