Can you check my homework? (wasn't really sure about #4 and #6)
1. Tekell ate 10 pieces of candy in the same time that Mackensay ate 4 pieces. How many pieces will Tekell have eaten when Mackensay eats 6?
Ans: 10/x = 4/6
4x = 60
x = 15 pieces of candy
2. Savannah made $102.00 babysitting
for 12 hours. How much will she make
babysitting for 15 hours?
Ans: $102/12
= $127.50
3. Nick mowed 8 lawns in 10 hours.
How long will it take him to mow 12 lawns?
Ans: 10/8 = x/12
8x = 120
x = 15 hours
4. 5 out of 6 students prefer pepperoni to sausage. If Ms. Greene has 120 students, how many
prefer pepperoni?
Ans: 5/6 = 5/5+6 = 5/11
5/11 = x/120
11x = 600
x = 54.54
x= 55 students?
5. Connor can ride his skateboard
6 blocks in 10 minutes. How many
blocks can he ride in 15 minutes?
Ans: 10/6 = 15/x
10x = 90
x = 9 blocks
6. Kate has 150 friends on facebook. Taylor has 3 friends for every 2 friends that Kate has. How many friends does Taylor have?
Ans: 3/2 = 3/2+3 = 3/5
3/5 = x/150
5x = 450
x = 90 friends?
7. Ryan ran 5 laps in 8 minutes.
How many laps can he run in 24 minutes?
Ans: 8/5 = 24/x
8x = 120
x = 15 minutes
8. Cassie is shopping at the MOA. She buys 3 shirts for $45.00. How much does 5 shirts cost?
Ans: 45/3 = x/5
3x = 225
x = $75
9a. -3 x 4 + (-15/3)
= -3 x 4 + (-5)
= -12 + -5
= -17
b. 1/4 + (-3/8)
= 2/8 + (-3/8)
= -1/8
c. -0.3 x 60
= -18.0
d. (-2/5)/(-1/5)
= (-2/5) x (-5/1)
= 10
4. No.
One way to solve this problem is to use a proportion.
5/6 - x/120
6. No. Taylor has more friends than Kate,
7. 15 laps
8. d is wrong
The rest are right.
#4
There are only 6 students, so just take
(5/6)(120) = 100
so 100 prefer pepperoni
#6.
Taylor/Kate = 3/2
Taylor/120 = 3/2
2 Taylor = 360
Taylor = 180
#9 d)
(-2/5) / (-1/5)
= (-2/5)(-5/1)
= 10/5
= 2
The others are correct
Thanks for the explanations!!
You're welcome.
To check the homework, let's go through each problem and explain how to find the answer:
1. Tekell ate 10 pieces of candy in the same time that Mackensay ate 4 pieces. How many pieces will Tekell have eaten when Mackensay eats 6?
To find the answer, set up a proportion. The number of pieces Tekell ate (10) is to the number of pieces Mackensay ate (4) as the unknown number of pieces Tekell will eat is to the number of pieces Mackensay will eat (6):
10/x = 4/6
Cross multiply: 4x = 60
Divide both sides by 4: x = 15 pieces of candy
2. Savannah made $102.00 babysitting for 12 hours. How much will she make babysitting for 15 hours?
To find the answer, divide the amount she made ($102) by the number of hours she worked (12):
$102/12 = $8.50 per hour
Multiply the rate per hour ($8.50) by the number of hours she will work (15):
$8.50 x 15 = $127.50
Savannah will make $127.50 babysitting for 15 hours.
3. Nick mowed 8 lawns in 10 hours. How long will it take him to mow 12 lawns?
To find the answer, set up a proportion. The number of lawns Nick mowed (8) is to the number of hours (10) as the number of lawns he will mow (12) is to the unknown number of hours (x):
10/8 = x/12
Cross multiply: 8x = 120
Divide both sides by 8: x = 15 hours
Nick will take 15 hours to mow 12 lawns.
4. 5 out of 6 students prefer pepperoni to sausage. If Ms. Greene has 120 students, how many prefer pepperoni?
To find the answer, first find the fraction of students that prefer pepperoni:
5/6 = x/120
Cross multiply: 6x = 600
Divide both sides by 6: x = 100
So, 100 students prefer pepperoni.
(Note: In your answer, you rounded the decimal to 54.54 and then 55 students. However, since we're dealing with a number of students, we should have a whole number for the answer.)
5. Connor can ride his skateboard 6 blocks in 10 minutes. How many blocks can he ride in 15 minutes?
To find the answer, set up a proportion. The number of blocks Connor can ride (6) is to the amount of time he takes (10 minutes) as the unknown number of blocks he will ride is to the given time (15 minutes):
10/6 = 15/x
Cross multiply: 10x = 90
Divide both sides by 10: x = 9 blocks
Connor can ride 9 blocks in 15 minutes.
6. Kate has 150 friends on Facebook. Taylor has 3 friends for every 2 friends that Kate has. How many friends does Taylor have?
To find the answer, set up a proportion. The number of friends Taylor has (unknown, x) is to the number of friends Kate has (150) as the ratio of Taylor's friends to Kate's friends is 3:2:
3/2 = x/150
Cross multiply: 3x = 300
Divide both sides by 3: x = 100
Taylor has 100 friends.
(Note: In your answer, you rounded the decimal to 90 friends. However, since we're dealing with a number of friends, we should have a whole number for the answer.)
7. Ryan ran 5 laps in 8 minutes. How many laps can he run in 24 minutes?
To find the answer, set up a proportion. The number of laps Ryan ran (5) is to the amount of time it took him (8 minutes) as the unknown number of laps he will run is to the given time (24 minutes):
8/5 = 24/x
Cross multiply: 8x = 120
Divide both sides by 8: x = 15 laps
Ryan can run 15 laps in 24 minutes.
8. Cassie is shopping at the MOA. She buys 3 shirts for $45.00. How much does 5 shirts cost?
To find the answer, divide the cost of the 3 shirts ($45.00) by the number of shirts (3):
$45.00/3 = $15.00 per shirt
Multiply the cost per shirt ($15.00) by the number of shirts (5):
$15.00 x 5 = $75.00
5 shirts cost $75.00.
For the algebraic problems:
9a. -3 x 4 + (-15/3) = -12 + (-5) = -17
b. 1/4 + (-3/8) = 2/8 + (-3/8) = -1/8
c. -0.3 x 60 = -18.0
d. (-2/5)/(-1/5) = (-2/5) x (-5/1) = 10
The results for the algebraic problems are correct.