The ratio of nails to screws to bolts in a toolbox is 5:3:2. There are 15 screws in the toolbox. Complete the sentences below. There are ____________ nails in the toolbox. The toolbox contains a total of __________ nails, screws and bolts. * 1 point 25 nails and 10 nails, screws, and bolts. 25 nails and 50 nails, screws, and bolts. 15 nails and 50 nails, screws, and bolts. 10 nails and 50 nails, screws, and bolts.

1 answer

Given the ratio of nails to screws to bolts is 5:3:2, we can denote the quantities of nails, screws, and bolts as follows:

  • Nails = 5x
  • Screws = 3x
  • Bolts = 2x

From the information provided, we know there are 15 screws in the toolbox:

3x = 15

To find x, we divide both sides by 3:

x = 15 / 3 x = 5

Now we can find the number of nails and the number of bolts:

  • Nails = 5x = 5 * 5 = 25
  • Bolts = 2x = 2 * 5 = 10

Now we can calculate the total number of nails, screws, and bolts:

Total = Nails + Screws + Bolts Total = 25 + 15 + 10 = 50

Now we can complete the sentences:

There are 25 nails in the toolbox. The toolbox contains a total of 50 nails, screws, and bolts.

Thus, the correct option is: 25 nails and 50 nails, screws, and bolts.