Please help. Thanks

Question

A 13-foot surfboard is cut into two pieces so that the longer piece is one more foot than twice the shorter piece. What is the length of each piece?

Answer 1

Set up a table

short + long = 13

1+12

2+11

3+10

4+9

5+8

6+7

which line meets the conditions

short+short+1= long

1+1+1 no

2+2+1 no

3+3+1 no

4+4+1 yes

5+5+1 no

Answer 2

Let L be the length of the Longer piece.

Let S be the length of the Shorter piece.

Then L = 2*S + 1

And L + S = 13 ft

So (2*S + 1) + S = 13 ft

3*S = 12 ft

S = 4 ft

and L = 2*4 + 1 = 9 ft

Answer 3

Hello Adriana.

Set up a table for the two unknows. Let x be the shorter length and 2x plus one equal the longer length. Add those up to 3x plus one. Set the equation to be equal to the entire length of the surf board and solve.