Certainly! Let's go through the steps to determine the percentage of seeds that germinated for each type and identify which type had a better germination rate.
### Step-by-Step Solution
1. Identify the initial data:
- For Type A seeds:
- Planted: [tex]\( 50 \)[/tex]
- Germinated: [tex]\( 42 \)[/tex]
- For Type B seeds:
- Planted: [tex]\( 80 \)[/tex]
- Germinated: [tex]\( 56 \)[/tex]
2. Calculate the germination percentage for Type A:
[tex]\[
\text{Percentage germinated for Type A} = \left( \frac{\text{Number of seeds germinated}}{\text{Number of seeds planted}} \right) \times 100
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Percentage germinated for Type A} = \left( \frac{42}{50} \right) \times 100 = 84\%
\][/tex]
3. Calculate the germination percentage for Type B:
[tex]\[
\text{Percentage germinated for Type B} = \left( \frac{\text{Number of seeds germinated}}{\text{Number of seeds planted}} \right) \times 100
\][/tex]
Plugging in the numbers:
[tex]\[
\text{Percentage germinated for Type B} = \left( \frac{56}{80} \right) \times 100 = 70\%
\][/tex]
4. Compare the germination percentages:
- Germination percentage for Type A: [tex]\( 84\% \)[/tex]
- Germination percentage for Type B: [tex]\( 70\% \)[/tex]
5. Determine which type had a better germination rate:
- Since [tex]\( 84\% \)[/tex] (Type A) is greater than [tex]\( 70\% \)[/tex] (Type B), Type A had a better rate of germination.
### Summary
- The percentage of Type A seeds that germinated is [tex]\( 84\% \)[/tex].
- The percentage of Type B seeds that germinated is [tex]\( 70\% \)[/tex].
- Type A seeds had the better rate of germination.
