Jared has a wooden board that is 11 ft long. He wants to cut it into 2 pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. How long is each piece?

Question

Mathematics

Guest

17 May, 01:59

Jared has a wooden board that is 11 ft long. He wants to cut it into 2 pieces so that the longer piece is 4 ft less than 4 times the length of the shorter piece. How long is each piece?

+2

Answers (1)

Know the Answer?

Gideon · Answer 1

X+y=11

x is longer than y

x>y

x is 4 less than 4 times y

x=-4+4y

sub back

x+y=11

-4+4y+y=11

-4+5y=11

add 4 to both sides

5y=15

divide both sides by 5

y=3

sub back

x=-4+4y

x=-4+4 (3)

x=-4+12

x=8

the pieces are 8ft and 3ft