Question

3. At an ice cream parlor, ice cream cones cost $2.00 and sundaes cost $3.50. One day, the receipts for 114 cones and

sundaes total $301.50. How many cones and sundaes were sold? (Assume tax is included in the cost.)

Answer 1

Number of ice cream cones = 65

Number of sundaes = 49

Explanation:

Let

x = number of ice cream cones

y = number of sundaes

x + y = 114 (1)

2x + 3.5y = 301.50 (2)

From (1)

x = 114 - y

Substitute into (2)

2x + 3.5y = 301.50 (2)

2(114 - y) + 3.5y = 301.50

228 - 2y + 3.5y = 301.50

- 2y + 3.5y = 301.50 - 228

1.5y = 73.50

y = 73.50/1.5

y = 49

Substitute y = 49 into (1)

x + y = 114 (1)

x + 49 = 114

x = 114 - 49

x = 65

Number of ice cream cones = 65

Number of sundaes = 49