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Olin [163]
3 years ago
5

A stone is a British unit of weight equivalent to 14 pounds. After losing 1 1/2 stone. Jim is now 85% of his original weight. Wh

at is Jims current weight?
Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Answer:

Jim's current weight = 119 pounds

Step-by-step explanation:

1 Stone = 14 pounds

1\frac{1}{2} stone = 1.5 stone

1.5 stone = 1.5 (14 pounds) = 21 pounds

Jim lost 21 pounds

Let X be Jim's Original Weight

Y be his present weight

As per given statement in the Question:

After losing 1.5 stones (21 pounds of weight) Jim now weighs Y

Present weight = original weight - 21

Y = X -21     <u>                                                    Equation 1</u>

Also Current Weight = 85 % (Original weight)

Y = 85 % (X) =\frac{85X}{100}

Y=\frac{85X}{100}

put in Equation 1

\frac{85X}{100} = X-21

85X = (X-21) 100

85 X = 100 X -2100

or

2100 = 100 X - 85X

2100 = 15X

or

15 X = 2100

X=\frac{2100}{15}

X= 140 pounds ( Original Weight)

Current Weight = Y = Original weight - 21 <u><em>(From Equation 1)</em></u>

Y = X -21

Y = 140 -21

Y = 119 pounds (Current Weight)

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