<em>while the two were at the movies Katie spent $40.00</em>
The easiest way to think of these is to put them in terms of percentages. Obviously, if you are SAVING 25%, you are SPENDING 75%. So if she SPENDS 13.50, we can easily use the 75% in an equation. $13.50 = .75x, with x being what the shoes cost originally. The .75 indicates that she is spending 75% of what the original cost is. You don't have any examples to pick from, but this is the best way to explain what one of the equations could be. You could also base it on money saved, but the equation is not quite as neat.
Answer:
1 1/2 x 4 1/2 x 5 = 33 3/4
4/3 is the ratio between fruit punch and orange juice. For every 3 cups of orange juice she makes, she can make 4 fruit punches. An example:
If you replace x (orange juice) with 2, that'd mean there'd be 6 cups of orange juice because you'd multiply 3 and 2. Same goes to 4. 4 multiplied by 2 is 8, which means if she makes 6 cups of orange juice, she can make 8 cups of fruit punch.
Marie states that any integer greater than 4 will always get an even number of factors.
This can be proven wrong by (for example) 12.
12 has these factors:
1 x 12
2 x 6
3 x 4
12 has an ODD number of factor pairs.
Another example is 28.
28:
1 x 28
2 x 14
4 x 7
28 has an odd number of factor pairs.
I hope this helps!
