On Friday night, Suzie babysat her cousin for [tex]\(3 \frac{1}{2}\)[/tex] hours and earned [tex]\(\$8.50\)[/tex] per hour. On Saturday, she babysat for her neighbors for [tex]\(4 \frac{1}{2}\)[/tex] hours. If she made a total of [tex]\(\$72.50\)[/tex] from both babysitting jobs, how much did Suzie earn per hour on Saturday?

[tex]\[\$ \ \square \ \text{per hour}\][/tex]



Answer :

Sure! Let's solve this problem step by step.

1. Determine Suzie’s earnings on Friday:

Suzie babysat for [tex]\( 3 \frac{1}{2} \)[/tex] hours (which is the same as 3.5 hours) at a rate of [tex]$8.50 per hour. To find out the total earnings on Friday, multiply the number of hours by her rate per hour: \[ 3.5 \text{ hours} \times \$[/tex]8.50/\text{hour} = \[tex]$29.75 \] So, Suzie earned \$[/tex]29.75 on Friday.

2. Calculate Suzie’s earnings on Saturday:

It is given that Suzie made a total of \[tex]$72.50 from both babysitting jobs. We already know she earned \$[/tex]29.75 on Friday. Thus, we need to subtract her Friday earnings from the total to find her Saturday earnings:

[tex]\[ \$72.50 - \$29.75 = \$42.75 \][/tex]

So, Suzie earned \[tex]$42.75 on Saturday. 3. Find the rate Suzie earned per hour on Saturday: On Saturday, Suzie babysat for \( 4 \frac{1}{2} \) hours (which is the same as 4.5 hours). We already know that her total earnings for Saturday were \$[/tex]42.75.

To find her rate per hour, divide her total earnings by the number of hours she worked:

[tex]\[ \frac{\$42.75}{4.5 \text{ hours}} = \$9.50/\text{hour} \][/tex]

Therefore, Suzie earned \[tex]$9.50 per hour on Saturday. So, Suzie earned \(\$[/tex]9.50\) per hour on Saturday.