What number must be subtracted from each term of the ratio 17 : 33 so that the ratio
becomes 7 : 15?
Answers
Answered by
1
Answer:
Therefore, 3 to be sutracted from each term of the ratio 17:30 so that the ratio becomes 7:15.
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Answered by
1
Answer:
x = 3
Step-by-step explanation:
Define x:
Let x be the number to be subtracted
Original ratio = 17 : 33
New ratio = 7 : 15
Form equation:
(17 - x)/(33 - x) = 7/15
Solve x:
(17 - x)/(33 - x) = 7/15
Cross multiply:
15(17 - x) = 7(33 - x)
Distribute 15 and 7:
255 -15x = 231 -7x
Add 15x to both sides:
255 = 231 + 8x
Subtract 231 from both sides:
24 = 8x
Switch sides:
8x = 24
Divide by 8:
x = 3
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