The ratio of nails to screws to bolts in a toolbox is 532. There are 15 screws in the toolbox complete the sentence below there are blank nails in the toolbox. The toolbox contains a total of blank nails screws and bolts.

1 answer

Given the ratio of nails to screws to bolts is 5:3:2, and there are 15 screws in the toolbox, we can set up the relationship as follows:

  1. Identify the parts of the ratio:

    • Nails: 5 parts
    • Screws: 3 parts
    • Bolts: 2 parts
  2. Let’s find the value of one part:

    • Since there are 15 screws (which corresponds to 3 parts), we can calculate the value of one part: \[ \text{One part} = \frac{15 \text{ screws}}{3 \text{ parts}} = 5 \]
  3. Now, calculate the number of nails:

    • Since nails correspond to 5 parts: \[ \text{Number of nails} = 5 \text{ parts} \times 5 = 25 \]
  4. Next, calculate the number of bolts:

    • Since bolts correspond to 2 parts: \[ \text{Number of bolts} = 2 \text{ parts} \times 5 = 10 \]
  5. Finally, calculate the total number of nails, screws, and bolts in the toolbox: \[ \text{Total} = \text{Number of nails} + \text{Number of screws} + \text{Number of bolts} = 25 + 15 + 10 = 50 \]

Putting it all together, we fill in the blanks in your sentences:

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