Asked by Brandt
1/5 of Chris's wire is equal to 1/4 of Sarah's. Daniel has 3 times as much wow as Sarah. In all, their wires measure 5 feet. How long is Chris's wire in feet.
Answers
Answered by
mathhelper
Chris' wire ---- x
Daniel's wire --- y
Sarah's wire ---- z
x + y + z = 5
1/5 x = 1/4 z
x = (5/4)z
y = 3z
sub into x+y+z = 5
(5/4)z + 3z + z = 5
times 4
5z + 16z = 20
21z = 20
<b>z = 20/21
y = 20/7
x = (5/4)(20/21) = 25/21</b>
check: 20/21 + 20/7 + 25/21 = 5 ✔
Daniel's is 3 times as much as Sarah's : y = 3z
20/7 = 3(20/21) ✔
1/5 of Chris's wire is equal to 1/4 of Sarah's.
(1/5)(25/21) = (1/4)(20/21)
5/21 = 5/21 ✔
Daniel's wire --- y
Sarah's wire ---- z
x + y + z = 5
1/5 x = 1/4 z
x = (5/4)z
y = 3z
sub into x+y+z = 5
(5/4)z + 3z + z = 5
times 4
5z + 16z = 20
21z = 20
<b>z = 20/21
y = 20/7
x = (5/4)(20/21) = 25/21</b>
check: 20/21 + 20/7 + 25/21 = 5 ✔
Daniel's is 3 times as much as Sarah's : y = 3z
20/7 = 3(20/21) ✔
1/5 of Chris's wire is equal to 1/4 of Sarah's.
(1/5)(25/21) = (1/4)(20/21)
5/21 = 5/21 ✔
Answer
1 4/21
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.