Question

Archie used 1/3 of a jar of tomato sauce to 3/8 make of a pizza. How

many jars of tomato sauce will Archie need to make one whole pizza?

Answer 1

Final answer is
`(8)/(9)` of a jar.

Explanation:

Given that Archie used 1/3 of a jar of tomato sauce to make 3/8 of a pizza. Now we need to find about how many jars of tomato sauce will Archie need to make one whole pizza.

We can setup ratio of sauce and pizza to easily solve that problem.

Let amount of sauce needed to make 1 pizza = x

then ratio will be :

`(sauce)/(pizza)=(x)/(1)=((1)/(3))/((3)/(8))`

`(x)/(1)=((1)/(3))/((3)/(8))`

`x=((1)/(3))/((3)/(8))`

`x=(1)/(3)\cdot(8)/(3)`

`x=(8)/(9)`

Hence final answer is
`(8)/(9)` of a jar.

Answer 2

For this case we make a rule of three:

`\frac {1} {3}` jar --------------->
`\frac {3} {8}` pizza

x -----------------------------------------> 1 pizza

Where the variable "x" represents the amount of sauce jars to make a pizza.

`x = \frac {1 * \frac {1} {3}} {\frac {3} {8}}\\x = \frac {8} {9}`

So, you need
`\frac {8} {9}` jars of sauce to make a pizza.

Answer:

`\frac {8} {9}`