Answered

IDNLearn.com is designed to help you find the answers you need quickly and easily. Our experts provide timely and accurate responses to help you navigate any topic or issue with confidence.

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

Denimjackets23idn

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 using this platform to share and learn. Keep asking and answering. We appreciate every contribution you make. Your search for solutions ends here at IDNLearn.com. Thank you for visiting, and come back soon for more helpful information.