Question

A local bakery sells bread and breakfast items. The bakery also offers two dessert options each day. Yesterday, the bakery offered decorated sugar cookies and miniature cakes. Each decorated sugar cookie sells for $3 and each miniature cake sells for $2. Yesterday, the bakery sold 40 bakery items, which sold for $96 total.

The system of equations shown can be used to represent this situation. In the system of equations, s equals the number of decorated sugar cookies sold and c represents the number of miniature cakes sold.

Answer 1

The bakery sold 16 decorated sugar cookies and 24 miniature cakes.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let s represent the decorated sugar cookie and c represent the miniature cake. The bakery sold 40 bakery items, which sold for $96 total. Hence:

s + c = 40   (1)

Also:

3s + 2c  = 96    (2)

From both equation:

s = 16, c = 24

The bakery sold 16 decorated sugar cookies and 24 miniature cakes.

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