Ratio Table Bags of Sand Gallons of Water 14 6 21 9 ? 12 35 15 Question 1 The ratio table shows the amounts of sand and water in a concrete mixture. Which fraction represents the ratio for the gallons of water to bags of sand? Responses A 36 3 6 B 37 3 7 C 53 5 3 D 73 7 3 Question 2 How many bags of sand should be mixed with 12 gallons of water? Responses A 22 bags22 bags B 24 bags24 bags C 28 bags28 bags D 30 bags
To find the fraction that represents the ratio for gallons of water to bags of sand, we need to divide the number of gallons of water by the number of bags of sand for each ratio.
For the first ratio (14 bags of sand and 6 gallons of water), the fraction is 6/14, which can be simplified to 3/7.
For the second ratio (21 bags of sand and 9 gallons of water), the fraction is 9/21, which can be simplified to 3/7 as well.
So, the ratio for the gallons of water to bags of sand is 3/7.
For Question 2, since the ratio of gallons of water to bags of sand is 3/7, we can set up a proportion to find the number of bags of sand needed.
Given:
Gallons of water: 12
Ratio: 3/7
Let x be the number of bags of sand.
We can set up the proportion: 3/7 = 12/x
Cross-multiplying, we get 3x = 7 * 12
3x = 84
x = 84/3
x = 28
Therefore, the number of bags of sand that should be mixed with 12 gallons of water is 28.
So the answer to Question 2 is C) 28 bags.