Yesterday, Sarah spent 3512
minutes studying for a test. Emma spent 112
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
Emma spent 112 x 3512 = <<112*3512=393344>>393344 minutes studying. Answer: \boxed{393344}.
1. Yesterday, Sarah spent 35 1/2
minutes studying for a test. Emma spent 1 1/2
times that amount studying for a different test. How many minutes did Emma spend studying?(1 point)
Responses
53 1/4
minutes
53 and 1 fourth minutes
49 1/2
minutes
49 and 1 half minutes
931/2
minutes
93 and 1 half minutes
73 1/4
minutes
73 and 1 fourth minutes
71 minutes
71 minutes
Question 2
2. A middle school band as 2/9
as many band members as the high school band. The high school band has 502 members. About how many members are in the middle school band?(1 point)
Responses
112
112
390
390
45
45
645
645
Question 3
3. How much cake will each member of the team get if 6 members share 3/4
of a cake equally?(1 point)
Responses
1/3
1 third
1/8
1 eighth
1/4
1 fourth
1/6
1 sixth
Question 4
4. Twenty-four packets of sheet music are in a folder. If the chorus students decide to share 3/8
of the packets, how many did they share?(1 point)
Responses
12 packets
12 packets
8 packets
8 packets
18 packets
18 packets
9 packets
9 packets
Question 5
5. Celeste completed 5/6
of her science problems. Her mom checked 2/3
of the assignment. What fraction of the assignment did her mom check?(1 point)
Responses
1/3
1 third
5/9
5 ninths
1/6
1 sixth
5/4
5 fourths
Question 6
6. Paige decided to paint 4/5
of the rooms in her home last year. By the end of the year, Paige completed 2/3
of the rooms. How much of Paige’s home was painted last year?(1 point)
Responses
6/15
6 over 15
2/3
2 thirds
8/15
8 over 15
1/3
1 third
2/9
2 over 9
1. To find out how many minutes Emma spent studying, we need to multiply Sarah's study time by 1 1/2.
Sarah spent 35 1/2 minutes studying.
Emma spent 1 1/2 times that amount studying.
To multiply fractions, we multiply the numerators and denominators separately.
1 1/2 = 3/2
35 1/2 * 3/2 = (71/2) * (3/2) = 71/2 * 3/2 = 213/4 = <<71/2*3/2=213/4>>53 1/4 minutes
Emma spent 53 1/4 minutes studying.
2. The high school band has 502 members and the middle school band has 2/9 times as many members.
To find out how many members are in the middle school band, we need to multiply the high school band size by 2/9.
502 * 2/9 = (502 * 2) / 9 = 1004/9 ≈ <<502*2/9=111.56>>111.56
The middle school band has about 112 members.
3. If 6 members are sharing 3/4 of a cake equally, we can find out how much each member gets by dividing 3/4 by 6.
3/4 ÷ 6 = (3/4) * (1/6) = 3/24 = 1/8
Each member will get 1/8 of the cake.
4. If there are 24 packets of sheet music in a folder, and the chorus students decided to share 3/8 of the packets, we can find out how many they shared by multiplying 24 by 3/8.
24 * 3/8 = (24 * 3) / 8 = 72/8 = <<24*3/8=9>>9
They shared 9 packets of sheet music.
5. Celeste completed 5/6 of her science problems and her mom checked 2/3 of the assignment. To find out what fraction of the assignment her mom checked, we need to multiply 5/6 by 2/3.
(5/6) * (2/3) = (5 * 2) / (6 * 3) = 10/18 = 5/9
Her mom checked 5/9 of the assignment.
6. Paige decided to paint 4/5 of the rooms in her home last year, but she only completed 2/3 of them. To find out how much of Paige's home was painted last year, we need to multiply 4/5 by 2/3.
(4/5) * (2/3) = (4 * 2) / (5 * 3) = 8/15
8/15 of Paige's home was painted last year.
To find out how many minutes Emma spent studying, we need to multiply the amount of time Sarah spent studying by 112.
3512 minutes x 112 = 393,344 minutes
Therefore, Emma spent 393,344 minutes studying.