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blondinia [14]
3 years ago
5

karen amad an hans have a total of 113 in their wallets? if hans has 4 times the amount of karen an karen has 7 dollars more tha

n amad, how much is in each wallet
Mathematics
1 answer:
zvonat [6]3 years ago
6 0

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

<u>Solution:</u>

Let "h" be the amount in Han's wallet

Let "k" be the amount in karen wallet

Let "a" be the amount in amad wallet

<em><u>They have a total of 113 in their wallet</u></em>

Therefore,

h + k +a = 113 ------- eqn 1

<em><u>If hans has 4 times the amount of karen</u></em>

Amount with Han = 4 times the amount with Karen

h = 4k ------- eqn 2

<em><u>And karen has 7 dollars more than amad</u></em>

k = 7 + a

a = k - 7 ---------- eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

4k + k + k - 7 = 113

6k - 7 = 113

6k = 113 + 7

6k = 120

k = 20

<em><u>Substitute k = 20 in eqn 3</u></em>

a = 20 - 7

a = 13

<em><u>Substitute k = 20 in eqn 2</u></em>

h = 4k = 4(20) = 80

h = 80

<em><u>Summarizing the results:</u></em>

Amount in Han wallet = $ 80

Amount in amad wallet = $ 13

Amount in karen wallet = $ 20

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Question is not complete. Complete question is;

Mount Belinda is the highest point in the South Sandwich Islands, with a peak at about 1,370 meters above sea level. The South Sandwich Trench, which lies about 100 kilometers (62 miles) to the east of the South Sandwich Islands, is about 8,428 meters below sea level (at its lowest point).

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Step-by-step explanation:

I have attached an image showing the elevations as depicted in the question.

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C) The halfway Elevation between peak MB and lowest SS will be;

100478.86/2 = 50239.43 metres

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