Frank, Mary and Seth shared some sweets in the ratio 4 : 5 : 7 Seth got 18 more sweets than Frank. Work out the total number of sweets they shared.
2 answers:
So, Seth has 18 more sweets than Frank, yet theres only 3 number difference in the ratio, 4:5:7 (4:5) 3 number difference, 18/3= 6 add the ratios = 4+5+7= 16 1 number = 6 so 4x6= 24 5x6=30 7x6=42 Frank gets 24 sweets Mary gets 30 sweets Seth gets 42 sweets The total number of sweets they shared is 24+30+42= 96 The share 96 sweets altogether. The check your answer; do 42-24= 18 Therefore, now we know that the difference between Seth and Frank's amount of sweets is 18. Therefore, this is correct.
Each number in the ratio 4:5:7 is worth 6 sweets. add 4,5, and 7 to get 16 then multiply it by 6 to get 96 sweets.
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