Answered

Get the answers you need at Westonci.ca, where our expert community is always ready to help with accurate information. Find reliable answers to your questions from a wide community of knowledgeable experts on our user-friendly Q&A platform. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

Three siblings have decided to pool their money to buy their parents a gift for their anniversary. They need to save $224.50 in total. Each sibling has a different rate of pay and works a different number of hours. Nancy earns $10.70 per hour. • Marc earns $11.30 per hour and always works 5 more hours per week than Nancy. • Kara babysits and earns $9 per hour and always works 2 hours less per week than Nancy. How many hours in a week must each sibling work in order to reach their goal of $224.50?​

Sagot :

ajinems

The number of hours each sibling must work each week to reach their goal of $224.50 is as follows:

  • Nancy: 6 hours

  • Nancy: 6 hoursMarc = 11 hours

  • Nancy: 6 hoursMarc = 11 hoursKara = 4 hours

Weekly calculation and of work done

The total amount of money that needs to be saved = $224.50

Total amount of money Nancy earn = $10.70 per hour.

Total amount of money Marc earn = $11.30 per hour

Total amount of money Kara earn = $9 per hour

Number of hours Nancy works = X hours

Number of hours Marc works = 5 + X hours

Number of hours Kara works = X - 2 hours

To calculate the amount each earn according to the number of hours they worked the following is carried out;

10.70(X) + 11.30( 5+X) + 9(x-2) = 224.50

10.70x + 56.5 + 11.30x + 9x - 18 = 224.50

Collect the like terms together

10.70x+11.30x+9x +56.5-18 = 224.50

31x + 38.5 =224.50

31x =224.50 - 38.5

31x = 186

X = 186/31

X = 6

Therefore Nancy works for 6 hours

Marc works for 5 + X = 5+6 = 11 hours

Kara works for x- 2= 6-2 = 4 hours

Learn more about hours here:

https://brainly.com/question/291457

Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We hope you found this helpful. Feel free to come back anytime for more accurate answers and updated information. Westonci.ca is committed to providing accurate answers. Come back soon for more trustworthy information.