Grady has 20 red numbered cubes and 15 blue numbered cubes. He gives his friend Gage 2/5 of his red numbered cubes and 1/3 of the blue numbered cubes. If Gage had 10 red numbered cubes and 12 blue numbered cubes, find the total number of cubes Gage has?
How many red numbered cubes did Grady give to Gage? ** Grady gave 2/5 * 20 cubes = <<2/5*20=8>>8 of his red numbered cubes to Gage.
How many red numbered cubes did Gage have after Grady gave him 8 more? ** If Gage initially had 10 red numbered cubes, his total number of red numbered cubes became 10 cubes + 8 cubes = <<10+8=18>>18 cubes after Grady gave him 8 more.
How many blue numbered cubes did Grady give to Gage? ** Grady also gave 1/3 * 15 cubes = <<1/3*15=5>>5 blue numbered cubes to Gage.
How many blue numbered cubes did Gage have after Grady gave him 5 more? ** This increased Gage's total number of blue numbered cubes to 12 cubes + 5 cubes = <<12+5=17>>17 cubes
How many cubes does Gage have? ** The total number of cubes Gage has is now 17 cubes + 18 cubes = <<17+18=35>>35 cubes
#### 35