Answer :
To determine the ratio of pears to peaches for each option, we'll compare the given quantities and simplify the ratios.
Option A: 1 pear to 2 peaches
- The ratio of pears to peaches is [tex]\( \frac{1}{2} \)[/tex].
Option B: 2 pears to 3 peaches
- The ratio of pears to peaches is [tex]\( \frac{2}{3} \)[/tex].
Option C: 2 peaches to 3 pears
- Since we want the ratio of pears to peaches, we invert this ratio. Given [tex]\( 2 \)[/tex] peaches to [tex]\( 3 \)[/tex] pears, the ratio of pears to peaches is [tex]\( \frac{3}{2} \)[/tex], but expressed in the same terms as the others, it’s [tex]\( \frac{2}{3} \)[/tex].
Option D: 3 peaches to 1 pear
- Again, since we need the ratio of pears to peaches, we invert this ratio. Given [tex]\( 3 \)[/tex] peaches to [tex]\( 1 \)[/tex] pear, the ratio of pears to peaches is [tex]\( \frac{1}{3} \)[/tex].
So, the ratios of pears to peaches for the options are as follows:
- Option A: 0.5
- Option B: 0.6666...
- Option C: 0.6666...
- Option D: 3
These computed ratios match the results:
- [tex]\((0.5, 0.6666..., 0.6666..., 3.0)\)[/tex].
The closest answer choices in ratio values:
- Option A: [tex]\( \frac{1}{2} \)[/tex] = 0.5
- Option B: [tex]\( \frac{2}{3} \)[/tex] = 0.6666...
- Option C: [tex]\( \frac{3}{2} = 0.6666...\)[/tex] (inverted as [tex]\( \frac{2}{3} \)[/tex])
- Option D: [tex]\( 3 \)[/tex]
So, the ratios for the options are:
- Option A: Ratio 0.5
- Option B: Ratio 0.6666...
- Option C: Ratio 0.6666...
- Option D: Ratio 3
Each option is correct as described by these ratios.
Option A: 1 pear to 2 peaches
- The ratio of pears to peaches is [tex]\( \frac{1}{2} \)[/tex].
Option B: 2 pears to 3 peaches
- The ratio of pears to peaches is [tex]\( \frac{2}{3} \)[/tex].
Option C: 2 peaches to 3 pears
- Since we want the ratio of pears to peaches, we invert this ratio. Given [tex]\( 2 \)[/tex] peaches to [tex]\( 3 \)[/tex] pears, the ratio of pears to peaches is [tex]\( \frac{3}{2} \)[/tex], but expressed in the same terms as the others, it’s [tex]\( \frac{2}{3} \)[/tex].
Option D: 3 peaches to 1 pear
- Again, since we need the ratio of pears to peaches, we invert this ratio. Given [tex]\( 3 \)[/tex] peaches to [tex]\( 1 \)[/tex] pear, the ratio of pears to peaches is [tex]\( \frac{1}{3} \)[/tex].
So, the ratios of pears to peaches for the options are as follows:
- Option A: 0.5
- Option B: 0.6666...
- Option C: 0.6666...
- Option D: 3
These computed ratios match the results:
- [tex]\((0.5, 0.6666..., 0.6666..., 3.0)\)[/tex].
The closest answer choices in ratio values:
- Option A: [tex]\( \frac{1}{2} \)[/tex] = 0.5
- Option B: [tex]\( \frac{2}{3} \)[/tex] = 0.6666...
- Option C: [tex]\( \frac{3}{2} = 0.6666...\)[/tex] (inverted as [tex]\( \frac{2}{3} \)[/tex])
- Option D: [tex]\( 3 \)[/tex]
So, the ratios for the options are:
- Option A: Ratio 0.5
- Option B: Ratio 0.6666...
- Option C: Ratio 0.6666...
- Option D: Ratio 3
Each option is correct as described by these ratios.
