Question 1067595
television weighs 50 pounds.
microwave weighs 30 pounds.


television occupies 4 cubic feet.
microwave occupies 3 cubit feet.


truck carries 1500 pounds of cargo.
truck occupies 138 cubic fee.


let T = number of televisions.
let M = number of microwaves.


50T + 30M = 1500 is your first equation.


4T + 3M = 138 is your second equation.


first equation addresses weight relationship.
second equation addresses space relationship.


if you solve these equations simultaneously, you should be able to find the number of televisions and microwaves that can be carried


solve as follows:


start with:


50T + 30M = 1500
4T + 3M = 138


multiply the second equation by 10 and leave the first equation as is to get:


50T + 30M = 1500
40T + 30M = 1380


subtract the second equation from the first to get:


10T = 120


solve for T to get T = 12


since 4T + 3M = 138, replace T with 12 to get:
4*12 + 3M = 138
simplify to get 48 + 3M = 138
subtract 48 from both sides of this equation to get 3M = 90
solve for M to get M = 30


you have T = 12 and M = 30


50T + 30M = 50*12 + 30*3 = 600 + 900 = 1500
4T+ 3M = 4*12 +3*30 = 48 + 90 = 138


both original equations are satisfied, so the solution looks good.


your solution is:


number of televisions is 12.
number of microwaves is 30.