djeromew92 djeromew92

Today at 10:03 AM
Mathematics

Answered

A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 70 small boxes. If the truck is carrying a total of 4575 pounds in boxes, how much does each type of box weigh?

Answer :

kevinbentch kevinbentch

Today at 10:09 AM

Answer:

The answer is: Large boxes are 45 pounds and Small boxes are 30 pounds.

Step-by-step explanation:

Let l = large box and s = small box.

One large box and one small box is equal to 75 lbs.

l + s = 75

Solve for s:

s = 75 - l

55 large boxes plus 70 small boxes weighs 4575 lbs.

55l + 70s = 4575

Substitute:

55l + 70(75-l) = 4575

55l + 5250 - 70l = 4575

-15l = -675

l = 45 lbs.

s = 75 - l = 75 - 45 = 30 lbs.

Proof:

55(45) + 70(30) = 4575

2475 + 2100 = 4575

4575 = 4575

Hope this helps! Have a great day!

Answer Link

Other Questions

BioMark Lifesystems wanted to enhance the adoption of its new diagnostic substances by medical laboratories. It made an agreement with the dominant producer of

In the storming stage of team development, team members will have accepted team goals, be operating as a unit, and, as indicated by the increase in performance,

Square of a standard normal: Warmup 1.0 point possible (graded, results hidden) What is the mean ????[????2] and variance ????????????[????2] of the random vari

If scientists studying cancer could understand how to promote cell division in cells that do not ordinarily divide, this might help people who had injuries invo

The enthalpy change for the following reaction is -81.1 kJ. Using bond energies, estimate the H-Br bond energy in: HBr(g) * 2HBr(g) + Cl2(g) -------> 2HCl(g) +

it is better to be a jumman being dissatisfied than a pig satisfied ,,who said this and why

Rearrange the jumble Words1.everything will sense make perfect someday2.at top voice, the man his of demanded the admission shouting3.you where have this all wh

ऑनलाइन शिक्षा पर एक अनुच्छेद लेखन लिखें

element cl atomicity

in the sentences fill inthe blanks using a ,an, the

Explain how the "game-theoretic" account of the State of Nature in terms of the celebrated "Prisoners' Dilemma" model helps to illustrate the contractarian argu

an electric current of 285.0 ma flows 674. milliseconds. Calculate the amount of electric charge transported. Be sure your answer has the correct unit symbol an

If total assets = 200 and the company has long term debt = 30 and short term debt = 50, what is the shareholders equity?O 30 O 50 O 80 O 120

The author suggests that the realization described in the final sentence of the passage had which of the following effects? A. It introduced a new topic for stu

A current of 60 mA passes through a loudspeaker of resistance 6 Ω. What is the potential difference across the resistance of the loudspeaker?

"The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.5" "Find the probability that a randomly selected person has

In recent years, economists have begun to use height as a measure of health and, indirectly, general well-being. Overtime, people in high-income countries

In the library on a university campus, there is a sign in the elevator that indicates a limit of 16 persons. Furthermore, there is a weight limit of 2500 lb. As

I roll a six-sided die 4 times. Find chances for each of the following events: a) the first die roll is bigger than the second or the first roll is a

Magpie Corporation uses the total cost concept of product pricing. Below is the cost information for the production and sale of 58,700 units of its sole product