Question

Mito bakes biscuit. He uses 1/4 cup of flour to coat the counter top and rolling pin. He also uses 5/2 cups of flour each batch of biscuits he bakes. If he uses 28/4 cups of flour in all, how many batches of biscuits does he bakes?

Answer 1

Mito bakes approximately 3 batches of biscuits.

Explanation:

Given;

Amount of flour to coat the counter top and rolling pin =
`(1)/(4)\ cup`

Amount of flour used to make each batch of biscuit =
`(5)/(2)\ cup`

Total amount of flour used =
`(28)/(4)\ cup`

we need to find number of batches of biscuit does he bake.

Solution:

Le the number of batches of biscuit baked be 'x'.

Now we can say that;

Total amount of flour used is equal to sum of Amount of flour to coat the counter top and rolling pin and Amount of flour used to make each batch of biscuit multiplied by number of batches of biscuits baked.

framing in equation form we get;

`(1)/(4)+ (5)/(2)x=(28)/(4)`

Now Subtracting both side by
`(1)/(4)` we get;

`(1)/(4)+ (5)/(2)x-(1)/(4)=(28)/(4)-(1)/(4)\\\\(5)/(2)x = (28-1)/(4)\\\\(5)/(2)x=(27)/(4)`

Now Multiplying both side by
`(2)/(5)` we get;

`(5)/(2)x* (2)/(5)=(27)/(4)* (2)/(5)\\\\x=(27)/(10)=2.7`

Hence Mito bakes approximately 3 batches of biscuits.