Andrew M. answered • 03/13/18

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

can carry no more than 5800 pounds: Weight

**≤ 5800**Weight:

**200r + 475p**where r=# refrigerators, p = # pianos**200r + 475p ≤ 5800**

The above equation gives the limits of what the truck can carry.

How many refrigerators or pianos depends on how many of the

other are present also. We can find how many of JUST refrigerators

or JUST pianos from: 200r ≤ 5800 or 475p ≤ 5800

200r ≤ 5800

r ≤ 5800/200

r ≤ 29 r

maximum of 29 refrigerators with no pianos

475p ≤ 5800

p ≤ 5800/475

p ≤ 12.21

maximum of 12 pianos with no refrigerators

****************************************

If we have 13 refrigerators and 7 pianos:

200(13) + 475(7) ≤ 5800

2600 + 3325 ≤ 5800

5925 ≤ 5800

Since 5,925 pounds is more than the 5,800 pound maximum weight limit,

yes, 13 refrigerators and 7 pianos would overload the truck.