The ratio of Armando's toys to Gabe's toys was 6 to 5. Armando gave half of her toys to Gabe. He counted his remaining toys and found that he now had 60 fewer toys than Gabe. How many toys did Armando have at first?
6a = 5 g initially g = 6/5 a
a - 1/2a = g + 1/2 a - 60 sub in red equation
1/2a = 6/5a + 1/2a -60
6/5a = 60
a = 60 * 5/6 = 50 toys initially