Solve for the unknowns in the following problem: Jamal sells cookies and lemonade for his baseball team’s fundraising event. A cookie is priced at $1.25 each, and lemonade is priced at $1.00 each. Last week, Jamal sold a combined total of 45 cookies and lemonades and collected $51.75. How many of each item did Jamal sell last week?(1 point)
Responses
27 cookies and 18 lemonades
27 cookies and 18 lemonades
22 cookies and 23 lemonades
22 cookies and 23 lemonades
15 cookies and 33 lemonades
15 cookies and 33 lemonades
18 cookies and 27 lemonades
18 cookies and 27 lemonades
To solve this problem, we can set up a system of equations:
Let x = the number of cookies sold
Let y = the number of lemonades sold
1.25x + 1.00y = 51.75
x + y = 45
Now we can solve for x and y:
x + y = 45
y = 45 - x
Substitute y = 45 - x into the first equation:
1.25x + 1.00(45 - x) = 51.75
1.25x + 45 - 1.00x = 51.75
0.25x = 6.75
x = 27
Now substitute x = 27 back into y = 45 - x:
y = 45 - 27
y = 18
So, Jamal sold 27 cookies and 18 lemonades last week. The correct response is:
27 cookies and 18 lemonades