Question

Rihanna went into a bakery and bought two cookies and three brownies, causing a total of 950. She went to the same bakery and bought some cookies and six brownies, costing a total of 2050. Write a system of equations that could be used to determine the price of each cookie and the price of each brownie. Define the variables that you used to write the system.

Answer 1

The system of equations based on Rihanna's purchases is two equations representing the cost of cookies and brownies purchased. The first equation is 2c + 3b = 950, and the second is xc + 6b = 2050, where c is the cost of one cookie, b is the cost of one brownie, and x is the number of cookies bought the second time.

Step-by-step explanation:

The system of equations based on the given scenario in which Rihanna goes into a bakery and buys cookies and brownies is set up as follows.

Let c represent the cost of one cookie and b represent the cost of one brownie. The first time Rihanna bought two cookies and three brownies for a total of 950, which gives us the equation 2c + 3b = 950.

The second time, she bought an unspecified number of cookies and six brownies for a total of 2050, which gives us the second equation xc + 6b = 2050, where x is the number of cookies she bought on the second visit.