Alex, Stephen and Bridget share some sweets in the ratio 5:4:2. Alex gets 21 more sweets than Bridget. How many sweets are there altogether?
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Answer:
Step-by-step explanation:
Let HCF of number of total sweets be x
So Alex owns 5x sweets
So Stephen owns 4x sweets
So Bridget owns 2x sweets
Alex has 21 more sweets than Bridget
So
5x = 2x + 21
5x-2x = 21
3x = 7
x = 7
So Alex has 5*7 = 35 sweets
So Stephen has 4*7 = 28 sweets
So Bridget has 2*7 = 14 sweets
So total number of Sweets is 35+28+14=77
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