Lollipops 81314

There are lollipops, candies, and candies in the basket. The number of lollipops and candies is in the ratio of 2:3, and the number of candies and candies is in the ratio of 4:5. There are 15 fewer candies than lollipops and candies combined. How many candies are there in the basket?

Correct answer:

n =  105

Step-by-step explanation:

a:b=2:3 b:c=4:5 c=a+b15 n=a+b+c  3a=2b 5b=4c c=a+b15  c=2/3 b+b15 c=(1 +2/3) b15  c=(1+2/3) 54 c15  c=(1+2/3) 4/5 c15  5c=225  c=5225=45  c=45  b=54 c=54 45=54 45=5180=36 a=32 b=32 36=32 36=372=24  n=a+b+c=24+36+45=105

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