Larry, Camille, and Simone are keeping track of how far they walk each day. At the end of the week they combined their distances

Question

3 years ago

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Larry, Camille, and Simone are keeping track of how far they walk each day. At the end of the week they combined their distances

and found that they walked 34 miles in total l. They also learned that Camille walked twice as far as Larry, and that Larry walked 2 more miles than Simone. How far did each person walk

Mathematics

1 answer:

solniwko [45] · Answer 1 · 2022-06-04T04:59:53+03:00

The distance walked by Larry is 9 miles and Camille is 18 miles and Simone is 7 miles

<em><u>Solution:</u></em>

Let "x" be the distance walked by Larry

Let "y" be the distance walked by Camille

Let "z" be the distance walked by Simone

<em><u>At the end of the week they combined their distances and found that they walked 34 miles in total</u></em>

Total distance = 34 miles

Therefore, we can say,

x + y + z = 34 ---------- eqn 1

<em><u>Camille walked twice as far as Larry</u></em>

distance walked by Camille = 2(distance walked by Larry)

y = 2x ---------- eqn 2

<em><u>Larry walked 2 more miles than Simone</u></em>

distance walked by Larry = 2 + distance walked by Simone

x = 2 + z

z = x - 2 ------- eqn 3

<em><u>Substitute eqn 2 and eqn 3 in eqn 1</u></em>

x + 2x + x - 2 = 34

4x - 2 = 34

4x = 34 + 2

4x = 36

<em><u>Substitute x = 9 in eqn 2</u></em>

y = 2(9) = 18

<em><u>Substitute x = 9 in eqn 3</u></em>

z = 9 - 2

Thus distance walked by Larry is 9 miles and Camille is 18 miles and Simone is 7 miles