So first off, the answer to this is 24 now think of x as the real or original sum or amount, also y as the new sum or amount.
y * 1.5 is x, and y+12 is x. Now flip that to figure out what is y, also which is what we need, and you have x/1.5 = y as well as x-12 = y. Use the equal values method and make an equation x/1.5=x-12. solve this equation to get x, which is 36. to figure out the new amount, y, you need to minus 12, which can help you get the answer which is 24.
Probability of finding no defective bulb
=95/100*94/99....86/91
=95!/(85!) / (100!/90!)
= 110983/190120
=>
Probability of finding at least one defective bulb
=1-110983/190120
= 79137/190120
= 0.41625 (to 5 decimal places)
12.50 x 40 = 500; this is his first week pay from $12.50 an hour for 40 hours
(15 x 55) + 100 = 925; this is the second pay from $15 an hour for 55 hours and an additional $100
Hope this helps! (If not correct me if its wrong xd)
1/4 = 2/8
3/4 = 6/8
2/8 * 3/1 = 6/8
1/4 * 3/1 = 3/4
6 1/8 portions are in 3/4