Answered

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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 :

MrRoyal

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

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