Martha is making tropical iced tea. the recipe calls for a gallon of iced tea, a quart of mango juice, and 3 cups of pineapple juice. how many cups of tropical iced tea did she make?

In 1 gallon are 16 cups and in 1 quart are 4 cups. So if you add 16 cups and 4 cups to the 3 cups of pineapple juice you should get 23 cups of tropical iced tea.

Alright,

So LCM stands for "least common multiple"
While GCF is "greatest common factor"

Let's look at your number 1 (3&6)

3,6,9,12
6,12,18,24

Both times table has 6 in them making 6 the LCM

To find the GCF we need to know what can go into 3 equally. Since 3 is prime the greatest factor for 3 is3. 6 goes into 3 two times so 3 is the GCF.

LCM:6
GCF:3

Lets do number 10 (40&4)

For LCM you see whats the smallest number that is in both times tables

4,8,12,16,20,24,2840
40,80, 160

40 is the LCM because 40 is what's the smallest number between the two

GCF?

4 times 1 equals 4. Nothing bigger than 4 can make 4 (if your multiplying). That makes 4 automatically the GCF. :)