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
Accepted Solution
A:
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:
[tex]4s+3c=26[/tex]
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:
[tex]5s+2c=29[/tex]
Using these two equations, the cost of one sundae and one cone can be calculated.