Question

Gavin is moving into a new ampartment that has a kitchen with an area of 50 square feet. If the area of the kitchen is 10 square feet more than 1 _ 3 the area of the bedroom, what is the area of gavin's bedroom?

Answer 1

120

Explanation:

no explanation

Answer 2

`B =120`

Explanation:

Given

Represent Kitchen with K and Bedroom with B.

So:

`K = 50ft^2`

`K = 10 + (1)/(3)B` --- 10 more than 1/3 of Bedroom area

Required

Determine the bedroom area

The expression of K and B has been determined above.

The next step is to substitute 50 for K in the second equaion

`K = 10 + (1)/(3)B`

`50 = 10 + (1)/(3)B`

Multiply through buy 3

`3 * 50 = 3 * 10 +(1)/(3)B * 3`

`150 = 30 +B`

Make B the subject

`B =150 - 30`

`B =120`

Hence, the area of the bedroom is 120ft^2