Question

Please help! my answer was 10.6hrs but my teacher said it was wrong... help please?

Answer 1

will medal:)

Answer 2

ok wat was the answer they gave you before

Answer 3

I thought the answer was 10.6 hours but my teacher said it was incorrect..

Answer 4

ok it might be 7.37 but im not sure let me check

Answer 5

okay

Answer 6

yeah i think its that

Answer 7

it is 10.528

Answer 8

awesome thanks so much

Answer 9

np

Answer 10

let j be the number of hours you work at the one that pays 7 dollars an hour
let s be the number of hours you work at the one that pays 8 dollars an hour

we are given that in one week, the total number of hours from both equal 10
so one equation we have is j+s=10

we are also given that at that 73.70 can be earned in a week... So we also have the equation 7j+8s=73.70

you must solve the following system:
7j+8s=73.70
j+s=10

Answer 11

the answer cannot be more than 10 since you are given that you can only work 10 hours in a week and some have to be at one job and the others at the other job

Answer 12

This is easier and will get the correct answer:

Let x = number of hours worked at $7
and (10 - x) = munber of hours worked at $8
Then
\[7(x) + 8(10-x)=73.70\]
Distribute, solve for x.. The key to simplicity is getting down to one variable.

The answer is between 6 and 7 (I don't like to just give answers)

Answer 13

Seat of the pants method. Assuming she works all 10 hours at the job that pays $7/hour, she'll make $70. She needs $73.70-$70=$3.70 more, so she has to work at the other job for a few of those hours instead. How many? Well, the higher-paying job pays $8/hr vs. $7/hr, so it pays $8/hr-$7/hr = $1/hr more. We need $3.70 more, so $3.70 / ($1/hr) = 3.70 hours. Instead of working 10 hours at the $7/hr job, she works 10-3.70 = 6.3 hours at the $7/hr job, and the other 3.70 hours at the $8/hr job.

My 12-year-old kid just did the problem in his head with this method. Learn it and amaze your friends :-)