Question

Pauline got 9 3/8 pounds of cherries from her tree this year. Last year she only got 6 1/4 pounds. How many times more pounds did she get this year than last year?

Option 1: 2 times
Option 2: 1.5 times
Option 3: 3 times
Option 4: 4 times

Answer 1

Pauline got 3 1/2 pounds more cherries this year than last year, which is equivalent to 7/2 pounds more. She got approximately 1.5 times more pounds this year.

Step-by-step explanation:

To find how many more pounds Pauline got this year than last year, we can subtract the weight from last year's harvest from the weight of this year's harvest.

Last year: 6 1/4 pounds

This year: 9 3/8 pounds

To subtract fractions, we need a common denominator. The least common multiple of 4 and 8 is 8, so we can rewrite both fractions with a denominator of 8.

Last year: 6 2/8 pounds

This year: 9 6/8 pounds

Now we can subtract the fractions: 9 6/8 - 6 2/8 = 3 4/8 = 3 1/2 pounds

Therefore, Pauline got 3 1/2 pounds more this year than last year. This is equivalent to 7/2 pounds more. To find out how many times more pounds she got, we can divide 7/2 by 6 1/4 and simplify the fraction.

7/2 ÷ 25/4 = 7/2 × 4/25 = 28/50 = 14/25

So, Pauline got approximately 14/25 or 2/5 times more pounds this year than last year. Therefore, the correct answer is Option 2: 1.5 times.