For a given recipe, 3 cups of flour are mixed with 6 cups of sugar. How many cups of flour should be used if 30 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x.
| Flour | Sugar |
|--------|-------|
| 3 cups | 6 cups|
| x cups | 30 cups|
To find the value of x, we set up a proportion:
3/6 = x/30
Cross multiply:
6x = 90
Divide by 6:
x = 15
Therefore, if 30 cups of sugar are used, 15 cups of flour should be used.
write a simple equation
Let x represent the number of cups of flour that should be used.
The equation representing the given situation is:
(3 cups of flour) / (6 cups of sugar) = x / 30 cups of sugar
Simplifying the equation, we have:
3/6 = x/30
Solving for x:
2/1 = x/30
x = 15
Therefore, if 30 cups of sugar are used, 15 cups of flour should be used.