D = 2C
D - 15 = C + 22
Substitute 2C for D in the second equation and solve for C. Insert that value into the first equation to solve for D. Check by putting both values into the second equation.
Dan has twice as many stickers as Cam does. If Dan gives Cam 15 of his stickers he will still have 22 more than Cam. How many stickers does each boy have?
3 answers
Initially:
Cam has X stickers.
Dan has 2x.
Dan gives Cam 15 stickers:
Cam has x + 15 stickers.
Dan has 2x - 15 stickers.
2x - 15 = (x + 15) + 22.
X = 52 stickers.
x + 15 = 52 + 15 = 67 stickers.
2x - 15 = 2*52 - 15 = 89 stickers.
Cam has X stickers.
Dan has 2x.
Dan gives Cam 15 stickers:
Cam has x + 15 stickers.
Dan has 2x - 15 stickers.
2x - 15 = (x + 15) + 22.
X = 52 stickers.
x + 15 = 52 + 15 = 67 stickers.
2x - 15 = 2*52 - 15 = 89 stickers.
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