Question
George and Vincent were given some income each. If George spent $28 each week and Vincent spent $56 each week, George would still have $837 left when Vincent spent all his income. If George spent $56 each week and Vincent spent $28 each week, George would still have $162 left when Vincent spent all his income
(a) How much income did George receive?
(b) How much income did Vincent receive?
(a) How much income did George receive?
(b) How much income did Vincent receive?
Answers
Anonymous
Set George receive x, Vincent receive y
(x - 837)/28 = y/56
y = 2(x - 837)
(x - 162)/56 = y/28
y = 1/2(x - 162)
2(x - 837) = 1/2 (x - 162)
4(x - 837) = x - 162
3x = 3186
x = 1026
y = 1/2 (1062 - 162) = 450
(a) George receive $1062
(b) Vincent receive $450
(x - 837)/28 = y/56
y = 2(x - 837)
(x - 162)/56 = y/28
y = 1/2(x - 162)
2(x - 837) = 1/2 (x - 162)
4(x - 837) = x - 162
3x = 3186
x = 1026
y = 1/2 (1062 - 162) = 450
(a) George receive $1062
(b) Vincent receive $450