There are 8 number of lilies and 4 tulips in the bouquet.
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Consider that x represents the number of lilies and y represents the number of tulips in the bouquet.
A bouquet of lilies and tulips has 12 flowers.
⇒x+y = 12 .....[1]
We are given that lilies cost $3 each and tulips cost $2 each the bouquet cost $32.
⇒ 3x + 2y = 32 .....[2]
Multiply equation [1] by 3 then
3x+ 3y = 36 .....[3]
Subtract equation [2] from [3] we get;
3x+ 3y -3x - 2y = 36 - 32
Combine like terms;
y = 4
Now Substitute the value of y in [1] we get;
x + 4 = 12
x = 8
Therefore, it is found that the number of lilies are 8 and the number of tulips are 4
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Answer
Find out the cost of the dinner .
To proof
Let us assume that the cost of the dinner be x.
As given
The Silver Town people went to a fancy restaurant after the big event.
Grammy gave the server a $15 tip.
If the tip was 20% of the cost of dinner.
20% is written in the decimal form
= 0.2
Than the equation becomes
x× 0.2 = 15
x =$75
The total cost of the dinner is $75 .
option (C) is correct .
Hence proved