Question

In this problem you will use algebra to describe a relationship, Jacinda used the table below to help convert measurements while she was cooking

Answer 1

a. The number of quarts is one-fourth the number of cups

b. The number of quarts =
`(1)/(4)c`

c. The number of quarts in 100 cups is 25 quarts

Explanation:

* Lets explain how to solve the problem

- There is a relation between the number of quarts and the number

of cups

# From the table

- Number of cups: 4 , 8 , 12 , 16

- Number of quarts: 1 , 2 , 3 , 4

∵ 4/1 = , 8/2 = 4 , 12/3 = 4 , 16/4 = 4

∴ The number of cups/the number of quarts = 4

- That means there are 4 cups in each quart

∴ The number of quarts is one-fourth the number of cups

a. The number of quarts is one-fourth the number of cups

∵ The number of cups is c

∴ The number of quarts =
`(1)/(4)c`

b. The number of quarts =
`(1)/(4)c`

∵ There are 100 cups

∴ c = 100

- Substitute the value of c in the expression below

∵ The number of quarts =
`(1)/(4)c`

∴ The number of quarts =
`(1)/(4)(100)`

∴ The number of quarts = 25

c. The number of quarts in 100 cups is 25 quarts