1 Catriona is deciding how large of a cake to order for a party. She can choose from a 1-layer cake that serves
10 people, a 2-layer cake that serves 20 people, a 3-layer cake that serves 40 people, or a 4-layer cake that
serves 65 people. The cost of the cake increases with its size. Catriona has invited 80 friends to her party.
Of the 80 friends invited, 40% have responded that they will attend, 10% have responded that they might
attend, and 50% have responded that they cannot attend. Catriona wants to buy the least expensive cake that
will serve all of her guests at the party. Which cake should Catriona order?
A the 1-layer cake
B the 2-layer cake
C the 3-layer cake
D the 4-layer cake
2 Shawn is jumping rope for a gym class competition. The winner of the competition will be selected as the
captain of the class soccer team. Shawn thinks he can jump rope for 9 minutes. To win the contest, he
only needs to jump rope for 8 minutes. However, less than half-way into the competition, Shawn trips on
the rope and stops jumping. If Shawn jumped 285 times in 3 minute and 45 seconds, what was Shawn’s
jumping rate?
A 76 jumps per minute
B 35.6 jumps per minute
C 31.7 jumps per minute
D 95 jumps per minute
1C 40 people will or might attend
2A 285/3.75 = 76 jumps/min
Thank you
but it would have been better if you told me how to answer it not the answers
1. To determine the cake that Catriona should order, we need to calculate the number of guests that will attend the party.
First, let's find out how many of the invited friends will attend:
Number of friends invited: 80
Percentage of friends who will attend: 40%
Number of friends who will attend: 80 * (40/100) = 32
Next, let's calculate the number of guests that might attend:
Percentage of friends who might attend: 10%
Number of friends who might attend: 80 * (10/100) = 8
Now, let's calculate the number of guests that cannot attend:
Percentage of friends who cannot attend: 50%
Number of friends who cannot attend: 80 * (50/100) = 40
To find the total number of guests, we add the number of attendees, possible attendees, and those who cannot attend:
Total number of guests: 32 + 8 + 40 = 80
Since Catriona has invited 80 guests and wants to serve all of them, we need to find the cake that serves at least 80 people.
- The 1-layer cake serves 10 people.
- The 2-layer cake serves 20 people.
- The 3-layer cake serves 40 people.
- The 4-layer cake serves 65 people.
Based on the number of guests, Catriona needs a cake that serves at least 80 people. The only cake that satisfies this requirement is the 4-layer cake (option D) that serves 65 people. Hence, Catriona should order the 4-layer cake.
2. To find Shawn's jumping rate, we need to determine the number of jumps per minute. Given that Shawn jumped 285 times in 3 minutes and 45 seconds, we can calculate the jumping rate as follows:
First, let's convert 3 minutes and 45 seconds to minutes:
Total time in minutes = 3 + 45/60 = 3.75 minutes
Next, let's calculate the jumping rate:
Jumping rate = Number of jumps / Time (in minutes)
Jumping rate = 285 / 3.75
Calculating this value gives us:
Jumping rate ≈ 76
Therefore, Shawn's jumping rate is approximately 76 jumps per minute. Hence, the correct answer is option A: 76 jumps per minute.