how many chocolate do we need?
Algebra
Level
pending
the weight of the key is equal to 1 donut and 6 bar of chocolate. the key and 3 doughnuts are equal to 10 bar of chocolate. how many bar of chocolate do we need to have same weight as the key?
The answer is 7.
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1 solution
1st : key = 1 doughnut + 6chocolate, 2nd :3 doughnut + key = 10 chocolate, replace the key with 1 doughnut and 6 chocolate in the 2nd given, so 3 doughnut + ( 1doughnut + 6 chcolate ) = 10 chocolate, so 4 doughnut + 6 chocolate = 10chocolate, and remove 6 chocolate from each side, so 4 doughnut = 4 chocolate. so 1 dough nut is equal to 1 chocolate. look at the 1st give, key = 1doughnut + 6 chocolate. so replace the 1 dough nut to 1 chocolate, and the answer will be, key is equal to 7 chocolate