Question

Mark is treating his family to ice cream. He buys 4 sundaes and 3 cones for a total of $26. Brian also buys ice cream for his family. His total is $29 for purchasing 2 cones and 5 sundaes.

Determine the system of equations that can be used to find the cost of one sundae, s, and the cost of one cone, c.

Mark ___ s + ___ c = ___

Brian ___ s + ___ c = ___

5, 3, 29, 7, 55, 2 ,4, 26

Answer 1

Mark: 4s+3c=26

Brian: 5s+2c=29

Explanation:

Answer 2

The cost of one sundae is s and cost of one cone is c.

Mark buys 4 sundae and 3 cones for a total of $26. Cost of 4 sundae will be 4s, cost of 3 cones will be 3c. So we can set up the equation for Mark as:


`4s+3c=26`

Brian buys 5 sundae and 2 cones for a total of $29. Cost of 5 sundae will be 5s, cost of 2 cones will be 2c. So we can set up the equation for Brian as:


`5s+2c=29`

Using these two equations, the cost of one sundae and one cone can be calculated.