Question

A contractor needs to buy nails to build a house. The nails come in small boxes and large boxes. Each small box has 50 nails and each large box has 400 nails. The contractor bought 3 times as many large boxes as small boxes, which altogether had 2500 nails. Determine the number of small boxes purchased and the number of large boxes purchased.

Answer 1

Answer:

Step-by-step explanation:

The number of small and large boxes purchased are:

2 small boxes.

6 large boxes.

Step-by-step explanation:

To solve the unknowns, two equations must be established with the information provided:

150X + 400Y = 2700 (the price of the boxes and the final number of nails, where X is the small boxes and Y the large boxes)

Y = 3X (Large boxes are triple the small ones)

Then equation 2 is replaced in equation one and variable X is cleared:

150X + 400 (3X) = 2700

150X + 1200X = 2700

1350X = 2700

X = 2700/1350

X = 2

Finally, the value of X is replaced in equation 2 to find the number of large boxes:

Y = 3X

Y = 3 (2)

Y = 6

Answer 2

Step-by-step explanation:

Statement , =>

3 p × 400 + p × 50 = 2500

=> 1250 p = 2500

=> p = 2

Hence number of large boxes is 6 and number of large boxes is 2 .