when eric makes a small batch of salsa, he uses 1 cup of chopped onions and 3 cups of chopped tomatoes. he wants to know how much of each ingredient to use in larger batches.

find the number of cups of tomatoes eric needs if he uses 2 cups of onions

onions tomatoes
1 3
2 ?

To find the amount of tomatoes needed when using 2 cups of onions, we can set up a proportion:

1 cup of onions is to 3 cups of tomatoes as 2 cups of onions is to x cups of tomatoes

1/3 = 2/x

Cross multiplying:

1x = 6

x = 6

Therefore, when Eric uses 2 cups of onions, he will need 6 cups of tomatoes.

anik uses 8 cups of mango and 2 cups of juice when he makes mango lassi for his family. he made a table to show how much of each ingredient to use to make different-sized batches.

which ordered pair shows and equivalent ratio of cups of mango to cups of juice?
(20,5)
(30,10)
(10,6)
(9,5)

one point is at 4,1 the second point is at 8,2 the third point is at 12,3 the fourth point is at 16,4

The equivalent ratio of cups of mango to cups of juice should be the same as the original ratio of 8:2.

Let's check each option:

- For option (20,5): the ratio is 20:5 which simplifies to 4:1, this is not equivalent to the original ratio.
- For option (30:10): the ratio is 30:10 which simplifies to 3:1, this is not equivalent either.
- For option (10:6): the ratio is 10:6 which does not simplify to 8:2.
- For option (9:5): the ratio is 9:5 which does not simplify to 8:2.

Therefore, the correct answer is not among the provided options. Let me know if you need help with anything else.