MATH SOLVE

2 months ago

Q:
# 3 roads, a, b, andc. b is three times longer thana. c is twice as long andb. draw the roads. what fraction of the total length of the roads is the length of a? if road b is 7 miles longer than road a, what is the length of road c?

Accepted Solution

A:

3 roads...a, b and c

b = 3a.....a = 1/3b

c = 2b.....b = 1/2c.....

a ------|

b ------|--------|------|

c ------|--------|------|------|------|------|

so a is 1/6 of the total road <===

if road b is 7 miles longer the a...

b = 3a....b = a + 7

a + 7 = 3a

7 = 3a - a

7 = 2a

7/2 = a

3.5 = a

b = 3a

b = 3(3.5)

b = 10.5

c = 2b

c = 2(10.5)

c = 21 <=====road C is 21

b = 3a.....a = 1/3b

c = 2b.....b = 1/2c.....

a ------|

b ------|--------|------|

c ------|--------|------|------|------|------|

so a is 1/6 of the total road <===

if road b is 7 miles longer the a...

b = 3a....b = a + 7

a + 7 = 3a

7 = 3a - a

7 = 2a

7/2 = a

3.5 = a

b = 3a

b = 3(3.5)

b = 10.5

c = 2b

c = 2(10.5)

c = 21 <=====road C is 21