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
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-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.
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
3 answers
wrong
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.
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.