A pizza weighs 1.8 kg. It is cut into two parts so that the first part is 25% heavier than the second part. Find the weight of each part.
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Answer:
weight of the heavier part is 1000g
and the weight of the other part is 800g
Step-by-step explanation:
weight of the pizza = 1.8 kg = 1.8*1000 g = 1800 g
let the weights of the 2 parts after cutting be x and y
=> x + y = 1800g --------------- (1)
given that x = y + (25% of y)
=> x = y + (25y/100)
=> x = y + (y/4)
=> x = 5y/4
substitute the x value in (1)
=> (5y/4) + y = 1800
=> (5y+4y)/4 = 1800
=> 9y = 4 * 1800
=> y = 4 * 200
=> y = 800
again (1) with y value ,
x + 800 = 1800
=> x = 1800 - 800 = 1000
=> weight of the heavier part is 1000g
and the weight of the other part is 800g
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