Santiago gets paid $3 per hour to do his chores. Thisweekend, he did chores on both Saturday and Sunday. Hemade a total of $21. Santiago worked for 4 hours on Saturday. For how many hours did he do chores onSunday?A. 4 1/2B. 2 1/4C. 5 2/3D. 3Please explain why

Answer :

We are given the following information.

Santiago gets paid $3 per hour.

He worked on both Saturday and Sunday and made a total of $21.

Santiago worked for 4 hours on Saturday.

We are asked to find out how many hours did he work on Sunday?

On Saturday, he worked for 4 hours.

[tex]Sat=\$3\times4=\$12[/tex]

So, he got paid $12 on Saturday.

Let x be the number of hours he worked on Sunday.

Then we can set up the following equation

[tex]12+3\cdot x=21[/tex]

Where 3x represents the money he got on Sunday.

The sum of the money for Saturday and Sunday must be equal to the total amount of $21.

Let us solve for x.

[tex]\begin{gathered} 12+3x=21 \\ 3x=21-12 \\ 3x=9 \\ x=\frac{9}{3} \\ x=3 \end{gathered}[/tex]

This means Santiago worked 3 hours on Sunday.

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