Rachel, Hong, and Manuel have a total of 95 in their wallets. Hong has 3 times what Manuel has. Rachel has $10 more than Manuel. How much does each have?

Rachel has 27

Hong has 51

Manuel has 17

Step-by-step explanation:

Let R represent Rachel, H represent Hong, and M represent Manuel.

They combined have a total of 95. Thus:

Hong has 3 times what Manuel has. Therefore:

Rachel has 10 more than Manuel. Therefore:

Substitute:

Combine like terms:

Subtract 10 from both sides:

Divide by 5:

Therefore, Manuel has 17.

Now, find Rachel and Hong's money.

So, Hong has 51.

And for Rachel:

Rachel has 27.

answer:

step-by-step explanation:

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