Final answer:
To determine the number of sugar, gingerbread, and chocolate chip cookies Rudy bought, a system of equations is set up based on the information that he buys 1 more sugar cookie than chocolate chip cookies, spends a total of $11.50, and buys 15 cookies. The system includes equations for the quantities of cookies and their total cost.
Step-by-step explanation:
The student is asking how to find out the number of sugar cookies, gingerbread cookies, and chocolate chip cookies Rudy bought given their prices and the total amount spent. To solve this, we can set up a system of equations using the given information. Let's denote the number of sugar cookies as s, the number of gingerbread cookies as g, and the number of chocolate chip cookies as c.
We have three pieces of information to formulate our equations:
- Rudy buys 1 more sugar cookie than chocolate chip cookies, so s = c + 1.
- The price of the cookies must add up to $11.50, so $1.00s + $1.25g + $0.50c = $11.50.
- Rudy buys 15 cookies in total, so s + g + c = 15.
Therefore, the system of equations to determine the number of each type of cookie Rudy bought is:
- s = c + 1
- 1s + 1.25g + 0.5c = 11.50
- s + g + c = 15
Solving this system of equations will give us the number of each type of cookie Rudy purchased.