Day 3 Answer Key

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Ratios Day 3
Presentation Problems
1. At the Starr Theater, the ratio of regular seating to balcony seating is 4:1. If the
occupancy of the regular seating is 420, how many seats are in Starr Theater?
Regular Seats
105
105
105
105
= 420
= ? (525)
Balcony Seats
105
4 units = 420
420 ÷ 4 = 105
1 unit = 105
5 units of 105
The Starr Theater has 525 seats.
5 • 105 = 525
Milk It! How many more regular seats are there than balcony seats?
2. The ratio of cars to trucks in the parking lot at Trantor Enterprises is 5:2. If there
are 102 trucks, how many vehicles are in the parking lot?
Cars
51
51
51
51
51
= ? (357)
Trucks
51
51
= 102
2 units = 102
102 ÷ 2 = 51
1 unit = 51
7 units of 51
Trantor Enterprises has 357 vehicles in the parking lot.
7 • 51 = 357
Milk It! How many cars are in the parking lot?
3. Nadia and Keisha take a road trip where they take turns driving. The ratio of the
number of miles that Nadia drives to the number of miles that Keisha drives is 4:3. If
Nadia drives 112 miles, what was the length of the trip?
4 units = 112
Nadia’s Miles
28
28
28
28
= 112
= ? (196)
Keisha’s Miles
28
28
112 ÷ 4 = 28
1 unit = 28
28
7 units of 28
7 • 28 = 196
The trip was 196 miles.
Milk It! How many miles did Keisha drive?
Ratios Day 3
Assessment Problems
1. The ratio of men to women in the bowling league at The Alley Cat is 6:5. If there
were 84 men in the league, how many people are the in the bowling league at The
Alley Cat?
6 units = 84
Men
14
14
14
14
14
14
= 84
= ? (154)
Women
14
14
14
14
84 ÷ 6 = 14
1 unit = 14
14
11 units of 14
11 • 14 = 154
There were 154 people in the Alley Cat’s bowling league.
2. At Englebrecht’s Orchard, there are only apple trees and pear trees in one
particular field. If the ratio of apple trees to pear trees was 7:3, and there were 203
apple trees, how many total trees were in that particular field?
Apple Trees
A
Pear Trees
29
29
29
29
29
29
=29
84
= 203
= ? (290)
29
29
29
7 units = 203
203 ÷ 7 = 29
1 unit = 29
There were 290 trees in the field.
10 units of 29
10 • 29 = 290
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