Destiny has read that adults should consume at least 1,300 milligrams of calcium per day. She wonders how much cereal and milk she would need to eat to get that much calcium. A cup of Destiny's favorite cereal has 300 milligrams of calcium, and a cup of milk has 450 milligrams of calcium.
Let c represent the number of cups of cereal and m represent the number of cups of milk. Which pairs (c,m) represent amounts of cereal and milk that would have enough calcium?
Questions
(1.5, 2) (1, 2.5) (3,0) (0.5,2)
To find out which pairs (c,m) represent amounts of cereal and milk that would have enough calcium, we can set up an equation based on the information given:
300c (amount of calcium in cereal) + 450m (amount of calcium in milk) = 1300
Let's test each pair:
1. (1.5, 2)
300(1.5) + 450(2) = 450 + 900 = 1350
This pair has more calcium than needed.
2. (1, 2.5)
300(1) + 450(2.5) = 300 + 1125 = 1425
This pair also has more calcium than needed.
3. (3, 0)
300(3) + 450(0) = 900 + 0 = 900
This pair does not have enough calcium.
4. (0.5, 2)
300(0.5) + 450(2) = 150 + 900 = 1050
This pair also does not have enough calcium.
Therefore, only the pair (3,0) represents amounts of cereal and milk that would have enough calcium.