the wages of 8 men and 6 boys amount to Rs 33.if 4 men earn Rs 4.50 more than 5 boys determine the wages of each men and boy
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Step-by-step explanation:
Given
the wages of 8 men and 6 boys amount to Rs 33.if 4 men earn Rs 4.50 more than 5 boys determine the wages of each men and boy
Let the wages of men be x and that of boys be y. So the equation will be
8x + 6y = 33 divide by 2 we get
4x + 3y = 33/2
4x + 3y = 16.5-------------1
Now 4 men earn Rs 4.5 more than 5 boys
4x – 5y = 4.5 --------------2
Solving both equations we get
4x + 3y = 16.5
4x – 5y = 4.5 Subtracting we get
8y = 12
So y = 12/8
Or y = 1.5
4x + 3y = 16.5
4x + 3(1.5) = 16.5
4x = 16.5 – 4.5
4x = 12
So x = 12/4
Or x = 3
So wages of each men and boy are Rs 3 and 1.5
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