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kakasveta [241]
4 years ago
15

A family spent $186 per week for food. This was 20% of its weekly income. What was the weekly income?

Mathematics
2 answers:
Effectus [21]4 years ago
7 0

Hello!

To find the weekly income of this family, we will need to convert the percentage into a decimal, and divide the money spent by the decimal found.

To convert percentages, know that all percentages are out of 100, and to convert them to decimals, divide it by 100.

20 / 100 = 2 / 10 = 0.2

Now, we would divide 186 by 0.2 to find the weekly income.

$186 / 0.2 = $930

Therefore, the weekly income of this family is 930 dollars.

geniusboy [140]4 years ago
5 0
It was $930.

To over check, multiply it by 20% , you will get $186.

Hope this helps !
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Answer:

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Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

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