SOLUTION: A photocopier enlarges by a ratio of 7:4. A picture measures 6 cm by 4 cm. How many consecutive enlargements can be made so that the largest possible picture will fit on a sheet me
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Question 1120895: A photocopier enlarges by a ratio of 7:4. A picture measures 6 cm by 4 cm. How many consecutive enlargements can be made so that the largest possible picture will fit on a sheet measuring 30 cm by 20 cm? Can you please answer this question?
You can put this solution on YOUR website! if you intend to keep the original length to width ratios the same, then the enlargement operates equally on both dimensions.
your original picture measures 6 by 4.
every time you enlarge it, eachof those dimensions is increased by a factor of 7/4.
6 * 7/4 = 10.5 * 7/4 = 18.375 * 7/4 = 32.15625.
that's for the width.
for the width:
4 * 7/4 = 7 * 7/4 = 12.25 * 7/4 = 21.4375.
it appears the most number of times you can enlarge the picture would be 2 times.
your final measurement would be 18.375 by 12.25.
the original ratios of the length to width would be intact.
18.375 / 12.25 = (6 * (7/4)^2) / (4 * (7/4)^2).
the (7/4)^2 in the numerator and the denominator cancels out and you are left with the original ratio of 6 / 4.
i believe your answer is 2 enlargements at most.
the third enlargement would exceed the dimensions of the sheet.
