Question

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 35 pounds and each large box of paper weighs 65 pounds. There were 3 times as many small boxes shipped as large boxes shipped and the total weight of all boxes was 850 pounds. Determine the number of small boxes shipped and the number of large boxes shipped.

Answer 1

Answer:

i guess 6 because its almost bit of half difference of 35 and 65

Answer 2

Answer:

The number of small boxes shipped = 5 and the number of large boxes shipped = 15

Step-by-step explanation:

Given,

The weight of each small box = 35 pounds

The weight of each large box = 65pounds

The total weight of the boxes = 850pounds

There were three times as many small boxes shipped as large boxes

To find,

The number of small boxes

The number of large boxes

Solution:

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

The weight of 'x' small boxes = 35x pounds

The weight of 'y' large boxes = 65x pounds

The total weight of the two types of  boxes together = 35x+65y

Since the total weight of the boxes is 850pounds, we have

35x+65y = 850 ---------------------(1)

Since the number of small boxes = 3 times the number of large boxes, hence we have,

x = 3y ------------------------(2)

Substituting the value of  y in equation (1) we get,

35×3y + 65y = 850

105y + 65y = 850

170y = 850

y = $\frac{850}{170}$ = 5

The number of large boxes shipped = 5

From equation (2),

x= 3y = 3×5 = 15

The number of small boxes shipped  = 15

∴ The number of small boxes shipped = 5 and the number of large boxes shipped = 15

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