Unit 5 – Rates, Ratios, and Proportions
Lesson 4 – Proportions and Scale
Green Handout
Green – Proportions and Scale
1.
Ellen is going to drive from New York City to Los Angeles. She looks at a map and
finds the two cities are 6.5 inches apart. If the scale on the map is 1 inch = 460
miles, how many miles will Ellen’s trip be?
2.
The scale on the map is 1 cm = 14.7 kilometers. If Jessie wanted to ride his bike for
100 kilometers, then how many centimeters would 100 kilometers be on the map?
(Round to the nearest tenth)
3.
Nancy has a tree in
her yard that is 83
feet from her
house. She is trying
to find out if the
tree will hit her
house if it blows
down in a storm.
Nancy is 5’ 2” (this means “5 feet and 2 inches”) tall and casts a shadow of 2’ 11”. At
the same time the tree casts a shadow of 52.5’. How tall is the tree?
Remember that there are 12 inches in 1 foot.
1
Unit 5 – Rates, Ratios, and Proportions
Lesson 4 – Proportions and Scale
Green Handout
Solutions
1.
1"(on map)
460 (real miles)
2.
=
6.5
x
= 2990 miles
6.8 centimeters
1 cm (on map )
n
=
14.7 (real kms ) 100 kms
Cross-multiply: 14.7n = 100
N = 6.8 centimeters
3.
93 feet
62 inches (Nancy 's height )
n (tree 's height )
=
35 inches (Nancy 's shadow ) 52.5 feet (tree 's shadow )
Cross-multiply: 35n = 3255
N = 93 feet
2
Unit 5 – Rates, Ratios, and Proportions
Lesson 4 – Proportions and Scale
Green Handout
Bibliography Information
Teachers attempted to cite the sources for the problems included in this problem set. In some cases,
sources may not have been known.
Problems
Bibliography Information
1-3
Zaccaro, Edward. Challenge Math (Second
Edition): Hickory Grove Press, 2005.
3