Question

A. The ratio between the lengths of two

pieces of lumber is 2:3. The longer piece is
21 ft long. How long is the shorter piece?




Help me please

Answer 1

the shorter piece is 14ft long

Explanation:

let the shorter piece be x

longer piece will be x:21

ratio of two pieces= 2:3

2:3=x:21

2/3=X/21

then cross multiply

21×2=3x

42/3=3x/3

X=14

2:3=14:21

hope it helps

Answer 2

14 feet

Explanation:

Let the shorter piece have length x.

Since the ratio is 2:3 and the longer piece is 21 feet long, we can write that as 2:3 = x:21.

Writing it as fractions, we get 2/3 = x/21 —(multiply by 21)—> x = 21*2/3 = 7*2 = 14 feet.

Thus, the shorter piece is 14 feet.

I hope this helps! :)