Posted by mili on Thursday, October 4, 2012 at 8:43pm.
a = mass of one aple
b = mass of basket
1 basket :
12 a + b = 3105 Subtract 12 a to both sides
12 a + b - 12 b = 3105 - 12 a
b = 3105 - 12 a
2 basket :
7 a + b = 1980
7 a + 3105 - 12 a = 1980
- 5 a + 3105 = 1980 Subtract 3105 to both sides
- 5 a + 3105 - 3105 = 1980 - 3105
- 5 a = -1125 Divide both sides by - 5
- 5 a / - 5 = - 1125 / - 5
a = 225 grams
b = 3105 - 12 a
b = 3105 - 12 * 225
b = 3105 - 2700
b = 405 grams
Proof :
12 a + b = 3105
12 * 225 + 405 = 3105
2700 + 405 = 3105
3105 = 3105
7 a + b = 1980
7 * 225 + 405 = 1980
1575 + 405 = 1980
1980 = 1980
1 basket :
12 a + b = 3105 Subtract 12 a to both sides
12 a + b - 12 a = 3105 - 12 a
b = 3105 - 12 a
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