Answer:
w<50
c≤30
6w+2c≥320
Step-by-step explanation:
W stands for the car wash, and C stands for the cakes. Naturally, it would be 7w+4c≥320 but each cake costs $2 to make and each car wash costs $1 per car. This makes the system 6w+2c≥320. They will wash less than(<) 50 cars and bake no more than(≤) 30 cakes. I hope this helped :).
To solve the problem we must know about Expressions.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given to us
Earning per car wash = $7
Earning per cake = $4
Cost of supplies per car wash = $1
Cost of cake = $2
They will wash less than 50 cars and
Bake no more than 30 cakes
They want to raise at least $320
Assumption
Let the number of cakes they sold be represented by x, and the number of car washes they did be represented by y.
Profit from Car wash
= Earning per car wash - Cost of supplies per car wash
= $7 - $1
= $6
Profit from Cake
= Earning per Cake - Cost of a cake
= $4 - $2
= $2
The system that represents profit
$320 = ($6)y + ($2)x
320 = 6y + 2x
As it is given that they will not make more than 30 cakes, therefore,
x ≤ 30
As it is given that they will wash less than 50 cars.
y < 50
Hence, the following equations can represent the system,
Learn more about Expression:
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