If we have an isosceles triangle, with a base of 3 inches and a height of 5 inches, what is the area of the triangle?
To solve this we're going to want to use the area of a triangle formula, which is A=1/2*base*height. Since our base is 3 inches and our height is 5 inches, our formula will look like... A=1/2*3*5 We are going to multiple these straight across to get an answer of... A=7.5, or 7 and 1/2.
If Anna has 25 oranges to pass out to her class, and her class has 21 students in it, then how many oranges will Anna have left over after everyone gets one?
Anna starts out with 25 oranges and she gives 21 away, so we are going to set up a subtraction problem. We put how many oranges Anna started with on top, and how many she gives away on bottom, like so.. 25 -21 ___ Then we are going to subtract straight down, starting with the right side and going left. So we would do 5-1, which equals 4, then 2-2 which equals 0. 25 -21 ___ 04 This gives us the answer 4, meaning Anna had 4 oranges left after she gave one to every student in her class.
Judy is making cookies, and it takes 12 minutes to bake each batch, plus the initial 15 minutes it took her to prepare the dough. How many batches of cookies did Judy make if it took her 111 minutes all together?
To solve this problem we are going to want to create an equation that allows us to solve for our unknown. Let's start by first identifying the parts of the equation that we know. We know that each batch takes 12 minutes, it takes 15 minutes to prepare all the dough, and it takes 111 minutes all together. Now lets think about the unknown. We want to know how many batches of cookies Judy made, so we should assign a variable, lets call that x, where each x is one batch of cookies. Now lets assemble the equation. We know it takes 111 minutes so... 111=(something) And we know it initially takes 15 minutes for the dough, so... 111 = 15 + (something) And we also know that it takes 12 minutes per 1 batch of cookies, so... 111 = 15 + 12*x To find out many batches Judy made, we want to solve for the variable, x. To do this we first move all the constants to one side by subtracting 15 from both sides because what ever we do to one side, we also have to do to the other, so... 111-15 = 15-15 + 12*x Which leaves us with... 96 = 12*x The last step to solving for x is going to be dividing both sides of the equation by 12.. 96/12 = x 8=x So here we can see that Judy would have had to make 8 batches of cookies in order for it all to take her 111 minutes.