Mary is baking a cake. The recipe calls for 14 cups of flour and 29 cups of sugar. She already put in 48 cups of flour. How many more cups of sugar than cups of flour does she need to add now?
First, we need to figure out how many cups of sugar she has already put in. We know that she has put in 48 cups of flour, and that the recipe calls for a ratio of 14 cups of flour to 29 cups of sugar. 

We can set up a proportion to solve this: 

$$\frac{48}{14}=\frac{x}{29}$$

We can cross multiply to solve for x: 

$$48\cdot29=14\cdot x$$

$$1392=14\cdot x$$

$$x=99$$

So, Mary has already put in 99 cups of sugar. 

Now we need to figure out how many more cups of sugar than cups of flour she needs to add. We know that she needs to add 14 cups of flour and 29 cups of sugar. We also know that she has already put in 48 cups of flour and 99 cups of sugar. 

We can set up another proportion to solve this: 

$$\frac{29}{14}=\frac{99-x}{48-14}$$

We can cross multiply to solve for x: 

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