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?
A) $\frac{3}{6}$
B) $\frac{3}{7}$
C) $\frac{5}{3}$
D) $\frac{7}{3}$

2) How many bags of sand should be mixed with 12 gallons of water?
A) 22 bags
B) 24 bags
C) 28 bags
D) 30 bags

Answer 1

Question:

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?

Solution:

Divide bags of sand by gallons of water

$\frac{14}{6} = \frac{7}{3}\\\\\frac{21}{9} = \frac{7}{3}\\\\\frac{35}{15} = \frac{7}{3}$

The ratio is the same

Which means,

$\frac{\text{ bags of sand }}{\text{gallons of water }} = \frac{7}{3}$

Thus option D is correct

Question:

How many bags of sand should be mixed with 12 gallons of water?

Solution:

Let "x" bags of sand should be mixed with 12 gallon of water

From above found,

$\frac{\text{ bags of sand }}{\text{gallons of water }} = \frac{7}{3}\\\\\frac{x}{12} = \frac{7}{3}\\\\Solve\\\\3x = 7 \times 12\\\\x = \frac{7 \times 12}{3}\\\\x = 28$

Hence, 28 bags of sand should be mixed with 12 gallons of water