Answer:
Your table might look something like this:
The dads steps:
3
6
9
12
15
18
Sons steps:
5
10
15
20
25
30
You can notice the pattern. If dad walks 3 steps, son walks 5. If dad walks another 3, son walks another 5. And so on. This means dad walks 12 steps when the sin walks 20 steps.
Step-by-step explanation:
The ratio is 3:5. This means dad wlaks 3 steps so son must walk 5 steps basically. So.......... You can now create the table. Y I just have to multiply or divide each side ( of the colon:) so. Whatever you do to one side, you do to the other side. If you x3 on one side, you do it to other. Same goes for division. In the 'table' I did above, I x2 to get 6 and 10. Then I took the 3 and the 5 again and timsed those by 3. You can also change the 6 and the 10. So:
3:5
Then x2
6:10
Then I take the top layer (you can either choose to change the top layer, or layer above as long as you do the same thing to each side. Remember, only x and ÷. No + or-.) and I x3
9:15
Then I could take 9 and 15 and x5
45:75
It's crazy that all these. Ratios mena the same thing! 45 steps from dad would take the son 75 steps. You can also divide the last ratio of 45:75 to find the one you started with, 3:5.
So you get the idea.
It is probably best to do what I did in the table in the answer part because I did a pattern. Take the top layer, and x2, then x3, then x4, ect. Rather then doing random things.
The equation to solve this problem is 2x-5=8. The answer is 13/2 or 6.5.
Make note of the coefficients in the first and fourth equations. They've been conveniently picked so that subtracting one equation from the other eliminates every variable but <em>t</em>. We have
(3<em>r</em> + 2<em>s</em> + <em>t</em> + 2<em>u</em> + 3<em>v</em>) - (3<em>r</em> + 2<em>s</em> + 3<em>t</em> + 2<em>u</em> + 3<em>v</em>) = 7 - 17
-2<em>t</em> = -10
<em>t</em> = 5
