# math

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. Each small box of paper weighs 50 pounds and each large box of paper weighs 80 pounds. There were 4 more large boxes shipped than small boxes and the total weight of all boxes was 1750 pounds. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

1. 👍
2. 👎
3. 👁
1. s = small boxes , g = large boxes

g = s + 4

80 g + 50 s = 1750

1. 👍
2. 👎
2. Step-by-step explanation:

Let x be the number of small boxes and let y be the number of large boxes

According to the first statement, a total of 21 boxes were shipped
Equation 1 will be:
x+y=21

According to 2nd statement, the total weight was 1110 and we know the weight of one small box is 25 and large box is 70
Equation 2 will be:
25x+70y=1110

Use the substitution method for solving the equation

Putting the value of x in equation 2
25(21-y) +70y =1110
525-25y+70y = 1110
45y = 585
Y=13

Putting the value of y in equation 1
x+13 = 21
X = 8

Number of small boxes shipped = 8
Number of large boxes shipped = 13

1. 👍
2. 👎

## Similar Questions

1. ### Language Art (Please Check)

1.B 2.A 3.B 1.which of the following is an example of a primary source? A.article written by an expert on the event B.letter from the time of the event C.website 2.When gathering information for a research paper,why is making a

2. ### English

Amelia is writing an informative text about how to make a paper airplane. She is writing to an audience of 10 to 14 year old children. Which hook would best grab her intended readers' attention? 1.Math class. The dinner table.

3. ### maths-urgently needed

The volume of a cylinder is 48.125 cm3, which is formed by rolling a rectangular paper sheet along the length of the paper. If cuboidal box (without any lid i.e., open at the top) is made from the same sheet of paper by cutting

4. ### Science

A student wanted to test how the mass of a paper airplane affects the distance the paper airplane will fly. Paper clips were added before each test flight. As each paper clip was added, the plane was tested to determine how far it

1. ### Chemistry

If performing a gravimetric sulfate experiment and you use ordinary filter paper instead of ashless filter paper, would results be too high or too low? If I'm trying to calculate percentage of sulfate in a sample and I used

2. ### physics

The radius of a roll of paper is 7.6 cm and its moment of inertia is I = 2.9 × 10^3 kg·m2. A force of 3.2 N is exerted on the end of the roll for 1.3 s, but the paper does not tear so it begins to unroll. A constant friction

3. ### math

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 9 cubic feet and the volume of each large box is 24 cubic feet. A total of

4. ### Mathematics

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 7 cubic feet and the volume of each large box is 13 cubic feet. A total of

1. ### physics

A paper placed in between two books can be quickly pulled out without moving the books. Which statement explains this phenomenon? A. There are no forces acting between the books and the paper. B. The pull of gravity on the book is

2. ### Math

You have a painting that is 30 in. wide and 22.5 in. tall. You would like to reproduce it on a sheet of paper that measures 8 1/2 in. by 11 in., leaving at least a 1­in. margin on all four sides. a) What scale should you use if