Asked by jo
Mr Neo has fewer than 200 sweets. He wants to give his class an equal number of sweets. If he gives each pupil 3 sweets, he will have 70 left over. If he gives 5 sweets, he will need 10 more sweets.
How many pupils are there in the class?
How many sweets does Mr Neo have?
How many pupils are there in the class?
How many sweets does Mr Neo have?
Answers
Answered by
Henry
X = The total # of sweets.
Y = The total # of pupils.
Eq1: x - 3y = 70.
Eq2: x -5y = -10.
Subtract Eq1 from Eq2 and get:
2y = 80,
Y = 40 Pupils.
In Eq1, substitute 40 for Y:
x - 3*40 = 70,
x - 120 = 70,
X = 70 + 120 = 190 Sweets.
Y = The total # of pupils.
Eq1: x - 3y = 70.
Eq2: x -5y = -10.
Subtract Eq1 from Eq2 and get:
2y = 80,
Y = 40 Pupils.
In Eq1, substitute 40 for Y:
x - 3*40 = 70,
x - 120 = 70,
X = 70 + 120 = 190 Sweets.
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