Apaper 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 45 pounds and each large box of paper weighs 70 pounds. there were 6 more small boxes shipped than large boxes and the total weight of all boxes was 1305 pounds. determine the number of small boxes shipped and the number of large boxes shipped.

We are required to determine the number of small boxes shipped and the number of large boxes shipped.

let

x = number of small boxes shipped

y = number of large boxes shipped

Weight of small boxes = 45 pounds

Weight of large boxes = 70 pounds

Total weight of boxes = 1305 pounds

There were 6 more small boxes shipped than large boxes

x = y + 6 (1)

x = y + 6 (1)45x + 70y = 1305 (2)

substitute x = y + 6 into (2)

45x + 70y = 1305

45(y + 6) + 70y = 1305

45y + 270 + 70y = 1305

45y + 70y = 1305 - 270

115y = 1035

divide both sides by 115

y = 1035 / 115

y = 9

Recall,

x = y + 6

x = 9 + 6

x = 15

Therefore,

the number of small boxes shipped is 15 and the number of large boxes shipped is 9

Read more:

link

Step-by-step explanation:

Let's say S is the number of small boxes and L is the number of large boxes.

There were 6 more small boxes than large boxes, so:

S = L + 6

Each small box weighs 45 pounds, and each large box weighs 70 pounds.  The total weight was 1305 pounds, so:

45S + 70L = 1305

We can now solve the system of equations.  Using substitution:

45(L + 6) + 70L = 1305

45L + 270 + 70L = 1305

115L = 1035

L = 9

S = 9 + 6

S = 15

There are 15 small boxes and 9 large boxes.

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

-81 -56 -27 0 81

step-by-step explanation: