Math question #15...?

Question

On one day, 4 gardeners and 4 helpers earned $360. On another day, working the same number of hours and at the same rate of pay, 5 gardeners and 6 helpers earned $480. How much does a gardener earn each day and how much does a helper earn each day?

Please help me. This is very confusing to me. Step by step explaination will be helpful. Thanks!

Answer 1

this is algebra question.

If you rephrase the question in algebra terms it looks something like this:
4g + 4h = 360
5g + 6h = 480

A gardener makes 60 and a helper makes 30. Try to plug them in you'll see.

4(60) + 4(30) 5(60) + 6(30)
240 + 120 = 360 300 + 180 = 480

Please dont ask me how i arrived to that cause i randomly numver pluged, but Im sure you can figure out the algebra formula stuff if you look back at your notes or textbook.

Good Luck on your Homework Assignment

Answer 2

Is it a substitution problem? If so, we'll put them into variables.

Gardener=g Helper=h

4g+4h=360
5g+6h=480

We'll start with g in the first equation:

4g+4h=360 (subtract 4h to both sides)
4g=360 - 4h (divide 4 from g to both sides)
g=90 - h

Now, substitute that into the second equation:

5(90 - h)+6h=480 (90 - h replaces the g)
450 - 5h+6h=480
450+h=480 (like terms are collected)
h=30
the helpers get 30 per person

You can plug 30 into either equation. We'll try the first equation:
4g+4(30)=360 (30 replaces h)
4g+120=360
4g=240
g=60
the gardeners get 60 per person

Answer 3

Let g=gardeners and h=helpers.
4h + 4g=360
and
5g + 6h = 480
Solve one (either one) for either g or h (once again, either one)
solving the first equation for helpers gives you:
4h=360-4g
h= (360 - 4g)/4
factor out a 4 from the top:
h= 4(90-g)/4
so
h=90-g
now, plug this into the second equation
5g+6h=480
5g + 6(90-g)=480
-g=-60
multipy both sides by -1
g=60
plug this into your h equation
h=90-g
h=90-60
h=30
So, gardeners make $60 a day and helpers $30

Answer 4

4 gardeners and 4 helpers = 8 workers. 360 divided by 8 = $45 they each make. 5 gardeners and 6 helpers = 11 workers. 480 divided by 11 = about $44 each. add up 44 and 45 = 89. 89 divided by 2 = $44.50.

Answer 5

Let g = gardener and h = helper

4g + 4h = 360
5g + 6h = 480

solve first equation for g:

4g = 360 - 4h
g = 90 - h

Substitute into 2nd equation:

5(90-h) + 6h = 480

450 - 5h + 6h = 480
450 + h = 480
h = 30

Go back to the 1st equation and substitute:

4g + 4(30) = 360
4g + 120 = 360
4g = 240
g = 60

Answer 6

11 into 480. is 43.63 n change is left over
8 into 360 is 45 is thats what ya need
or theres not enough information to figure it out

Answer 7

it depends on how many will be there tomorrow or the day after or the day after. it depends on how many people are willing to help

Answer 8

hello,its confusing