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

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