<span>The right information from the figure is:
AU = 20x + 108,
UB = 273,
BC = 703,
UV = 444,
AV = 372 and
AC = 589
The similarity of the two triangles leads to:
[AB] / [AC] = [AU] / [AV]
[AB] = [AU] + [UB] = 20x + 108 + 273 = 20x + 381
=> (20x + 381) / (589) = (20x + 108) / 372
Now you can solve for x.
(372)(20x + 381) = (20x + 108)(589)
=> 7440x + 141732 = 11780x + 63612
=> 11780x - 7440x = 141732 - 63612
=> 4340x = 78120
=> x = 18
Answer: x = 18
</span>
13 3/4 + x = 7 1/4
becomes x = 13 3/4 / 7 1/4
13 3/4 = 55/4
7 1/4 = 29/4
55/4 / 29/4 = 55/4 * 4/29 = 220/116
220/116 reduces to 1 26/29
Answer: 3 balloons
Step-by-step explanation:
The ratio would be pink balloons to total balloons (aka pink/total), so 5 to 20 (aka 5/20). This simplifies to 1/4. If the new total is 12, and x represents pin balloons, then you can do 1/4=x/12. By cross multiplying, you get 12=4x. Divide both sides by 4 and x would equal 3. Therefore, the party store should expect to sell 3 pink balloons.
