High School

A bakery sells two types of wedding cakes.

A cake with fruit filling costs $120 and a plain cake costs $90.

The bakery has a monthly goal of at least $3,600 in sales for the two types of cakes.

a. Write an inequality to describe the constraints. Specify what each variable represents.

Answer :

Final answer:

We can represent the bakery's monthly sales goal with the inequality 120x + 90y ≥ 3600 where x represents the number of fruit-filled cakes sold and y represents the number of plain cakes sold. The bakery aims to earn at least $3600 from selling these cakes.

Explanation:

Let's denote the number of fruit-filled cakes sold as x and the number of plain cakes sold as y. Each fruit-filled cake costs $120 and plain cakes are $90. The bakery wants to make at least $3600 from selling these cakes.

Therefore, the inequality representing the bakery's monthly sales goal would be 120x + 90y ≥ 3600. This essentially denotes that the total revenue from the fruit-filled cakes (120 times the quantity sold) plus the total revenue from the plain cakes (90 times the quantity sold) should be equal to or greater than $3600 each month.

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