To solve this problem, we need to find the relationship between the number of power ups used and the number of cookie soldiers raised.
Given that Liliana used 4 power ups to build 14 cookie soldiers, we can find the ratio of power ups to cookie soldiers. In this case, it is 4 power ups for 14 cookie soldiers.
To find out how many cookie soldiers Liliana can raise with 10 power ups, we can set up a proportion.
4 power ups / 14 cookie soldiers = 10 power ups / x cookie soldiers
Cross-multiplying the proportion, we get:
4 power ups * x cookie soldiers = 14 cookie soldiers * 10 power ups
Simplifying the equation, we have:
4x = 140
Dividing both sides of the equation by 4, we get:
x = 140 / 4
x = 35
Therefore, Liliana can raise 35 cookie soldiers with 10 power ups.
To find out how many zombie soldiers she can raise with a total of 14 power ups, we can set up another proportion.
4 power ups / 14 cookie soldiers = 14 power ups / y zombie soldiers
Cross-multiplying the proportion, we get:
4 power ups * y zombie soldiers = 14 cookie soldiers * 14 power ups
Simplifying the equation, we have:
4y = 196
Dividing both sides of the equation by 4, we get:
y = 196 / 4
y = 49
Therefore, Liliana can raise 49 zombie soldiers with a total of 14 power ups.
So the correct answer is option a. 49.