Answered

Westonci.ca is the ultimate Q&A platform, offering detailed and reliable answers from a knowledgeable community. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts. Our platform provides a seamless experience for finding reliable answers from a network of experienced professionals.

A family spends 1/3 of its income for the mortgage and 1/6 of its income for food. What proportion of its income remains?

Sagot :

Answer: 1/2

Step-by-step explanation:

1/3 = 2/6 so 2/6 + 1/6 = 3/6

3/6 = 1/2

denimjackets23

Answer:

1/2

Step-by-step explanation:

Since we're dealing with fractions, the total fraction is 1

Mortgage =1/3

Food =1/6

Fraction of income left=x

So we equate everything above to 1

[tex] \frac{1}{3} + \frac{1}{6} + x = 1[/tex]

[tex] \frac{1}{3} + \frac{1}{6} + x = 1 \\ lcm = 6 \\ multiply \: each \: term \: by \: 6 \\ 6 \times \frac{1}{3} + 6 \times \frac{1}{6} + 6(x) = 6(1) [/tex]

[tex] = > 2(1) + 1(1) + 6x = 6 \\ 2 + 1 + 6x = 6 \\ 3 + 6x = 6[/tex]

[tex]6x = 6 - 3 \\ 6x = 3 \\ x = \frac{3}{6} = \frac{1}{2} [/tex]

Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thank you for using Westonci.ca. Come back for more in-depth answers to all your queries.