Answer:
hi I believe the answers are
50/18 and 44/60
Answer:
General tickets were 1,356 and reserved tickets were 431
Step-by-step explanation:
Let general tickets be <em>g</em> and reserved <em>r</em>
r + g = 1787
4r + 3g = 5792
Use first equation to solve for r
r = 1787-g
Substitute r in the second equation by (1787-g);
4(1787-g) +3g = 5792
7148 - 4g +3g = 5792
Group the numbers on one side and the unknown variables on the other side and solve for g;
7148 - 5792 = 4g-3g
1356 = g
With g= 1356, find r using any of the first two equations;
r+1356 = 1787
r = 1787 - 1356
r = 431
Therefore, general tickets were 1,356 and reserved tickets were 431
Prove that 3:8 is equivalent to 12:32:
I'd suggest that you write the ratio 12:32 as<span /><span><span><span><span><span><span><span><span><span>12</span><span /></span><span><span>32</span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span></span>
and then factor both the 12 and the 32. Write out the factors:<span /><span><span><span><span><span><span><span><span><span>12</span><span /></span><span><span>32</span><span /></span><span><span /><span /></span></span></span><span>=</span><span><span><span><span><span>(</span><span>?</span><span>)</span><span>(</span><span>?</span><span>)</span></span><span /></span><span><span><span>(</span><span>?</span><span>)</span><span>(</span><span>?</span><span>)</span></span><span /></span><span><span /><span /></span></span></span></span><span /></span></span><span /></span></span> and then reduce this last result by cancelling out the common factor.3 x 4 = 12
8 x 4 = 32
It is equivalent. They both multiplied by four the get that ratio.
