Are the equations for these questions right?

Question

1) Erik has 2 part-time summer jobs. For Job 1 he gets $9/hr on weekdays and for Job 2 he gets $12/hr for weekends. Last week he worked 23 hours and he earned a total of $231. How many hours did he work on the weekend?
9x+12y = 231
x + y = 23

2) Find two numbers such that four times the larger increased by 1/4 of the smaller is 42 and the difference between 3 times the larger and 1/2 the smaller is 26.
4x+y = 42
3+y = 26

3) The perimeter of a public swimming pool is 112m. If 5 times the length equals 12 times the width. Find the dimensions of the pool.
5x+12y = 112
x+y = 112

4) The sum of Bruce's age and his younger brother Lou's age is 110 years. Ten years ago the difference in their ages was 10 years. How old are they now?
x + y = 110
x-y = 10

Answer 1

The first is correct.
2. Should be 4x + (y/4) = 42
3x - (y/2) = 26

3 and 4 are also incorrect.
For #3, they tell us that 5 times the length eauals 12 times the width.
that translates to 5x = 12y. Can you get the second equation? (remember the perimeter is 2 x length + 2 x width.
Then see fi you can correct #4.

Answer 2

is the 2nd equation 2x + 2y = 112

I don't get 4...
I'm sure the 1st equation is x+y = 110 but I can't figure out the 2nd.

Answer 3

yes, that is right..2x + 2y = 112.

And, yes the first equation for #4 is
x + y = 110. For the second equation...remember, it is 10 years ago...we have to take 10 off each of their ages...(x-10) - (y-10) = 10.

Do you understand?

9

Answer 4

Yes thanks so much!

Answer 5

you're welcome!