Respuesta :
Answer:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
Step-by-step explanation:
Consider the inequality [tex]25x+200y\geq 1000[/tex]
Here, x denotes ounces of whole milk and y denotes ounces of cheddar cheese.
To write: three different amounts of milk and cheese that a person could consume to meet the recommendation
Solution:
Take [tex]x=20,y=3[/tex]
[tex]25(20)+200(3)\geq 1000\\500+600\geq 1000\\1100\geq 1000[/tex]
So, [tex]x=20,y=3[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=30,y=4[/tex]
[tex]25(30)+200(4)\geq 1000\\750+800\geq 1000\\1550\geq 1000[/tex]
So, [tex]x=30,y=4[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Take [tex]x=40,y=5[/tex]
[tex]25(40)+200(5)\geq 1000\\1000+1000\geq 1000\\2000\geq 1000[/tex]
So, [tex]x=40,y=5[/tex] satisfy the inequality [tex]25x+200y\geq 1000[/tex]
Therefore,
three different amounts of milk and cheese that a person could consume to meet the recommendation are as follows:
20 ounces of milk and 3 ounces of cheddar cheese
30 ounces of milk and 4 ounces of cheddar cheese
40 ounces of milk and 5 ounces of cheddar cheese
