Can someone pls help me with this?!
1 answer:
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Answer:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Step-by-step explanation:
Let be and
the amounts of nickels and dimes that Carrie and Joan have, as
the total amount of money that both Carrie and Joan have. A nickel is a five cent coin and a dime is a ten cent coin.
The following equations are constructed after a careful reading on statement:
Carrie's amount of money:
(Eq. 1)
Joan's amount of money:
(Eq. 2)
Relation between amounts of coins:
(Eq. 3)
First we eliminate by equalizing (Eq. 1) and (Eq. 2):
Then, we reduce the resulting formula by (Eq. 3):
And rest of variable are now determined:
Carrie and Joan have 80 nickels and 40 dimes, respectively, and each one has an amount of money of 4 US dollars.
Answer:
2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!
Step-by-step explanation:
So, we need to write two equations in order to solve this:
We will think of 28 dollar tickets as x, 40 dollar tickets as y.
Now lets make those equations:
and
Now, to solve for x and y, lets set a value for x or y. In this case I will set the value of y:
I will do this by taking , and subtracting x to the other side, to get y alone:
Now lets plug in y to our second equation:
=
Now combining like terms and solving for x we get:
=
=
Now that we know x, lets solve for y by plugging into our first equation!
=
So now we know that our answer is:
2,100 $28 tickets were sold, and 3,900 $40 tickets were sold!
Hope this helps! :3