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After Hiro's family photoshoot, the photographer sells the printed photos by the sheet. Hiro has a \$200$200dollar sign, 200 credit from a prior session, and the above equation gives the total credit left, CCC, in dollars, if he buys sss sheets. How many sheets can Hiro purchase with his credit?

Respuesta :

Answer: 5 sheets

Explanation:

The question seems incomplete, however, I found the mentioned equation:

[tex]C=40 (5-s)[/tex]

We are told [tex]C[/tex] is in units of [tex]\$[/tex] and [tex]s[/tex] is in units of [tex]sheets[/tex], this means the other side of the equation must be in [tex]\$[/tex], as well.

So, if we make a dimensional analysis :

[tex]\$=40\frac{\$}{sheets} (sheets)[/tex]

This means each sheet costs [tex]\$40[/tex], then with a Rule of three, we can find how many sheets Hiro can purchase with  [tex]\$200[/tex]:

If:

1 sheet ---- [tex]\$40[/tex]

s sheets ---- [tex]\$200[/tex]

Then:

[tex]s=\frac{(\$200)(1 sheet)}{\$40}=5 sheets[/tex]

Therefore,  [tex]C=\$0[/tex] (the total credit left is zero) and we can verify [tex]s=5[/tex] by isolating it from the equation:

[tex]s=\frac{200 - C}{40}[/tex]

[tex]s=\frac{200 - 0}{40}[/tex]

[tex]s=5[/tex]