SOLUTION: A 10-foot board is to be cut into 2 pieces whose lengths are in the ratio 4:1. Find the number of feet in the length of the shorter piece.

Algebra.Com
Question 196857: A 10-foot board is to be cut into 2 pieces whose lengths are in the ratio 4:1. Find the number of feet in the length of the shorter piece.
Found 2 solutions by stanbon, checkley77:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
A 10-foot board is to be cut into 2 pieces whose lengths are in the ratio 4:1. Find the number of feet in the length of the shorter piece.
------------
4:1 is the same as 4x:x
-------------------------------
Equation:
4x + x = 10
5x = 10
x = 2 ft. (the shorter piece)
4x = 8 ft.(the longer piece)
==========================
Cheers,
Stan H.

Answer by checkley77(12844)   (Show Source): You can put this solution on YOUR website!
4+1=5
10/5*1=2*1=2 ft. is the length of the shorter piece.
10/5*4=2*4=8 ft. is the length of the longer piece.
Proof:
2+8=10
2:8=1:4

RELATED QUESTIONS

A 55-foot board is to be cut into two pieces whose lengths are in the ratio of 4 to 7.... (answered by Alan3354)
A 66-foot board is to be cut into two pieces whose lengths are in the ratio of 4 to 7.... (answered by jim_thompson5910)
A 32 foot board is to be cut into two pieces whose lengths are in the ratio of 3 to 5.... (answered by richwmiller)
A 51-foot board is to be cut into two pieces whose lengths are in the ratio of 8 to 9.... (answered by stanbon)
A 200-foot board is to be cut into two pieces whose lengths are in the ratio of 7 to 3.... (answered by JBarnum,richwmiller)
A 65-foot board is to be cut into two pieces whose lengths are in the ratio of 6 to 7.... (answered by Fombitz)
A board 6 feet long is cut into two pieces whose lengths are in a ratio of 1 to 5. Find... (answered by mananth)
Set up an algebraic equation and solve the problem A 50-foot board is to be cut into... (answered by stanbon)
A 20 foot board is cut into two pieces whose lengths are in the ration of 7 to 3. Find... (answered by stanbon)