Fill in the blanks!

Recipe for Fruit Punch (1 Serving):
1 can of juice
3 cans of water

_ : _

_/_

Complete the table.
All of the ratios - 1:3, 2:6, and 3:9 - are equivalent ratios.

Serving - Cans of juice - Cans of water
1 - 1 - 3
2 - _ - _
3 - _ - _

1 answer

To complete the table with equivalent ratios, we can multiply the number of servings by the ratios of cans of juice and cans of water.

Since the ratio of cans of juice to cans of water is 1:3, if we have:

  • For 1 serving:

    • Cans of juice: 1
    • Cans of water: 3
  • For 2 servings:

    • Cans of juice: \(1 \times 2 = 2\)
    • Cans of water: \(3 \times 2 = 6\)
  • For 3 servings:

    • Cans of juice: \(1 \times 3 = 3\)
    • Cans of water: \(3 \times 3 = 9\)

Now we can fill in the table:

| Serving | Cans of Juice | Cans of Water | |---------|----------------|----------------| | 1 | 1 | 3 | | 2 | 2 | 6 | | 3 | 3 | 9 |

So, the completed table would be:

  • For 2 servings: Cans of juice = 2, Cans of water = 6
  • For 3 servings: Cans of juice = 3, Cans of water = 9