Posted by **Minnie818** on Thursday, February 2, 2012 at 10:01pm.

Sally and Peter have a lawn-mowing business. They earn $30 for

a large yard, $21 for a medium-sized yard, and $15 for a small

yard. If they mow 8 yards and there are at least 2 yards of each

size, what is the maximum amount of money they can earn?

- Math -
**Steve**, Friday, February 3, 2012 at 11:29am
x = no. of small yards

y = no. of medium yards

z = no. of large yards

Naturally, they make the most money when mowing the greatest number of large yards.

But, x>=2 and y>=2.

So, x+y >= 4

If the mow 8 yards, then z = 8 - (x+y) <= 4

mowing 2 small, 2medium, and 4 large yards, they earn

2*15 + 2*21 + 4*30 = 192

## Answer this Question

## Related Questions

- Math - Raquel is mowing her rectangular lawn. The area of her lawn is 800 sq.ft...
- Math - John has 1/4 yard of fabric. He cuts it into 3 equal pieces . What ...
- math - Nate's front yard was 50 feet wide. each time he pushed the mower along ...
- Mathematics - You can either do your own yard work or you can pay someone to do ...
- MATH - Time and money are always significant. Look at this scenario. You can ...
- Math - Time and money are always significant. Look at this scenario. You can ...
- math - how do I find out how many feet are in 36 yards? i know that 3 feet ...
- math - Carl has three lengths of cable, 5/6 yard long, 1/4 yard long, and 2/3 ...
- Math - Carl has three lengths of cable,5/6 yard long,1/4 yard long and 2/3 yard...
- algebra - Jack usually mows his lawn in 4hrs Marilyn can mow the same yard in ...

More Related Questions