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PSAT/NMSQT
PSAT Math Test - No Calculator Section

Fundraising Revenue from Cookies and Cupcakes

Very Hard Heart Of Algebra Systems Of Linear Equations

Camila and Logan are both engaged in a fundraising project. Camila sells cookies and Logan sells cupcakes. The revenue from Camila’s cookie sales can be modeled by the equation:

$C = 3x + 5$,

where $C$ represents the total revenue in dollars and $x$ represents the number of cookie boxes sold. Logan’s revenue from cupcake sales is represented by the equation:

$L = 4y + 10$,

where $L$ represents the total revenue in dollars and $y$ represents the number of cupcake boxes sold.

If the total revenue from both Camila’s and Logan’s sales is $80$, set up and solve the system of equations to find the values of $x$ and $y$. Provide your answer for the number of cookie boxes sold, $x$, as a grid-in response.

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