Question

solve for the unknowns in the following problem: jamal sells cookies and lemonade for his baseball team fundraising event. A cookie is priced at $1.25 each, and lemonade is priced at $1.00 each. last week, jamal sold a combined of total of 45 cookies and lemonades and collected $51.75 how many of each item did jamal sell last week

Answer 1

wrong

Answer 2

Let's represent the number of cookies sold as x and the number of lemonades sold as y.

The total amount collected from selling cookies and lemonades is $51.75. This can be represented as:

1.25x + 1.00y = 51.75

We also know that the total number of cookies and lemonades sold is 45:

x + y = 45

Now we have a system of two equations:

1) 1.25x + 1.00y = 51.75
2) x + y = 45

We can solve this system of equations using substitution or elimination method. Let's use the elimination method.

Multiplying the second equation by 1.25 to match the coefficients of x in the first equation:

1.25(x + y) = 1.25(45)
1.25x + 1.25y = 56.25

Now we can subtract this equation from the first equation:

1.25x + 1.00y = 51.75
-1.25x - 1.25y = 56.25
--------------
-0.25y = -4.50

Now, solve for y:

y = -4.50 / -0.25
y = 18

Substitute y back into the second equation to find x:

x + 18 = 45
x = 45 - 18
x = 27

Therefore, Jamal sold 27 cookies and 18 lemonades last week.

Answer 3

Apologies for the mistake. Let's correct that:

Let x be the number of cookies sold and y be the number of lemonades sold.

We have the equations:
1) 1.25x + 1.00y = 51.75
2) x + y = 45

From equation 2, we can rewrite it as x = 45 - y and substitute this into equation 1:

1.25(45 - y) + 1.00y = 51.75
56.25 - 1.25y + y = 51.75
0.25y = 4.5
y = 4.5 / 0.25
y = 18

Now, substitute y back into x = 45 - y:
x = 45 - 18
x = 27

Therefore, Jamal sold 27 cookies and 18 lemonades last week.