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Question2. Jenny charges $9.15\$ 9.15 an hour to babysit toddlers and $7.45\$ 7.45 an hour to babysit school-aged children. a. If Jenny babysat toddlers for 9 hours and school-aged children for 6 hours, how much money did she earn in all? b. Jenny wants to earn $1,300\$ 1,300 by the end of the summer. How much more will she need to earn to meet her goal?

Studdy Solution

STEP 1

1. Jenny's hourly rate for babysitting toddlers is \$9.15.
2. Jenny's hourly rate for babysitting school-aged children is \$7.45.
3. The total number of hours babysitting toddlers is 9 hours.
4. The total number of hours babysitting school-aged children is 6 hours.
5. Jenny's goal is to earn \$1,300 by the end of the summer.

STEP 2

1. Calculate the total earnings from babysitting toddlers.
2. Calculate the total earnings from babysitting school-aged children.
3. Sum the earnings from both types of babysitting to find the total amount earned so far.
4. Calculate the remaining amount Jenny needs to earn to reach her goal of \$1,300.

STEP 3

Calculate the total earnings from babysitting toddlers.
Earnings from toddlers=Hourly rate for toddlers×Hours babysitting toddlers \text{Earnings from toddlers} = \text{Hourly rate for toddlers} \times \text{Hours babysitting toddlers}
Earnings from toddlers=9.15×9 \text{Earnings from toddlers} = 9.15 \times 9

STEP 4

Perform the multiplication to find the total earnings from babysitting toddlers.
9.15×9=82.35 9.15 \times 9 = 82.35
Therefore, the total earnings from babysitting toddlers is \$82.35.

STEP 5

Calculate the total earnings from babysitting school-aged children.
Earnings from school-aged children=Hourly rate for school-aged children×Hours babysitting school-aged children \text{Earnings from school-aged children} = \text{Hourly rate for school-aged children} \times \text{Hours babysitting school-aged children}
Earnings from school-aged children=7.45×6 \text{Earnings from school-aged children} = 7.45 \times 6

STEP 6

Perform the multiplication to find the total earnings from babysitting school-aged children.
7.45×6=44.70 7.45 \times 6 = 44.70
Therefore, the total earnings from babysitting school-aged children is \$44.70.

STEP 7

Sum the earnings from both types of babysitting to find the total amount earned so far.
Total earnings=Earnings from toddlers+Earnings from school-aged children \text{Total earnings} = \text{Earnings from toddlers} + \text{Earnings from school-aged children}
Total earnings=82.35+44.70 \text{Total earnings} = 82.35 + 44.70

STEP 8

Perform the addition to find the total earnings.
82.35+44.70=127.05 82.35 + 44.70 = 127.05
Therefore, Jenny earned a total of \$127.05 so far.

STEP 9

Calculate the remaining amount Jenny needs to earn to reach her goal of \$1,300.
Remaining amount=Goal−Total earnings so far \text{Remaining amount} = \text{Goal} - \text{Total earnings so far}
Remaining amount=1300−127.05 \text{Remaining amount} = 1300 - 127.05

STEP 10

Perform the subtraction to find the remaining amount needed.
1300−127.05=1172.95 1300 - 127.05 = 1172.95
Therefore, Jenny needs to earn an additional \$1,172.95 to meet her goal.

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