Question

A bakery sells cakes for $23 and a dozen cupcakes for

$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72

Answer 1

23x + 18y = 1446

x + y = 72

Explanation:

The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).

Thus, 23x +18y = $1446.

The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).

Thus, x + y = 72.