Ken and Mali put candies in bags to give away at Ken's birthday party. They started with an equal number of candies and put the same number in each bag. Ken filled nine bags and had three candies left. Mali filled eight bags and had ten candies left. How many candies were in each bag?

The correct answer is 7.

Step-by-step explanation:

Let there be x number of candies in each bag filled by Ken and Mali.

Both Ken and Mali started with equal number of candies and put same number of candies in each bag.

Ken filled nine bags and had three candies left. Therefore total number of candies Ken had = 9x + 3.

Mali filled eight bags and had ten candies left. Therefore total number of candies Mali had = 8x + 10.

As both had equal number of candies in the beginning,

9x + 3 = 8x + 10

⇒ x  = 10 - 3 = 7

Thus each bag contained 7 candies.

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

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