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$C = 40( 5 - s )$ After Hiro's family photoshoot, the photographer sells the printed photos by the sheet. Hiro has a $\$200$ credit from a prior session, and the equation gives the total credit left, $C$ , in dollars, if he buys $s$ sheets. How many sheets can Hiro purchase with his credit?

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Write linear functions: word problems

Full solution

Q.

C = 40( 5 - s )

After Hiro's family photoshoot, the photographer sells the printed photos by the sheet. Hiro has a

\$200

credit from a prior session, and the equation gives the total credit left,

C

, in dollars, if he buys

s

sheets. How many sheets can Hiro purchase with his credit?

Identify Equation & Variables: Identify the equation and what each variable represents. $\newline$ Equation: $C = 40(5 - s)$ $\newline$ Here, $C$ represents the total credit left after purchasing $s$ sheets, where each sheet costs \(\(40\)).
Set Up Equation for Sheets: Set up the equation to find the number of sheets Hiro can buy with his $\$200$ credit. $\newline$ We know Hiro's total credit is $\$200$ , so set $C = 200$ : $\newline$ $200 = 40(5 - s)$
Solve for Number of Sheets: Solve for $s$ , the number of sheets. $\newline$ Divide both sides by $40$ to simplify: $\newline$ $\frac{200}{40} = 5 - s$ $\newline$ $5 = 5 - s$

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