Answered

Johnny spends 1/7
of his income on food, 1/10
of his income on gas, and 3/8
of his income on rent. What percentage of his income remains after he has paid for food, gas, and rent?



38.2%

61.8%

32.5%

42.1%



Answer :

Answer:

1/7 + 1/10 + 3/8 =

40/280 + 28/280 + 105/280 = 173/280

1 - 173/280 = 107/280 = about 38.2% of income left

Answer: 38.2%

Step-by-step explanation:

Let's add up the fractions that we have so far. First, we need to find a common denominator for the three fractions. The least common multiple of 7, 8 and 10 is 280. So, let's convert each fraction:

[tex]\frac{1}{7}[/tex] x [tex]\frac{40}{40}[/tex] = [tex]\frac{40}{280}[/tex]

[tex]\frac{1}{10}[/tex] x [tex]\frac{28}{28}[/tex] = [tex]\frac{28}{280}[/tex]

[tex]\frac{3}{8}[/tex] x [tex]\frac{35}{35}[/tex] = [tex]\frac{105}{280}[/tex]

Now, we add the fractions together. We can simply add the numerators:

40 + 28 + 105 = 173

Now, we subtract 173 (the fraction we spent) from 280 to find the fraction of the income that remains.

280 - 173 = 107

So, we have [tex]\frac{107}{280}[/tex] of our income left. To convert this into a percentage, we divide 107/280:

107 ÷ 280 = 0.3821 or 38.2%.

So, the final answer is 38.2%.

Hope this helps!

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