Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Ask your questions and receive accurate answers from professionals with extensive experience in various fields on our platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

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?

Sagot :

Answer:

[tex]B =120[/tex]

Step-by-step explanation:

Given

Represent Kitchen with K and Bedroom with B.

So:

[tex]K = 50ft^2[/tex]

[tex]K = 10 + \frac{1}{3}B[/tex] --- 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

[tex]K = 10 + \frac{1}{3}B[/tex]

[tex]50 = 10 + \frac{1}{3}B[/tex]

Multiply through buy 3

[tex]3 * 50 = 3 * 10 +\frac{1}{3}B * 3[/tex]

[tex]150 = 30 +B[/tex]

Make B the subject

[tex]B =150 - 30[/tex]

[tex]B =120[/tex]

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

Answer:

120

Step-by-step explanation:

no explanation