Answer:
- 39 quarters and 41 nickels
Step-by-step explanation:
Let the number of quarters be x and nickels be y.
<u>Given:</u>
- Quarter is 25 cents
- Nickel is 5 cents
- Number of coins is 80
- Total amount is $11.80 = 1180 cents
<u>We have equations:</u>
- x + y = 80
- 25x + 5y = 1180
<u>Solve the system by elimination, subtract 5 times the first equation from the second one:</u>
- 25x + 5y - 5x - 5y = 1180 - 80*5
- 20x = 780
- x = 780/20
- x = 39
<u>Find the value of y:</u>
- 39 + y = 80
- y = 80 - 39y = 41
<u>Verify:</u>
- 25*39 + 5*41 = 975 + 205 = 1180
Answer:
54 teachers
Step-by-step explanation:
Step one:
given data
The ratio of teachers to students on a field trip to New York City is 2 to 9.
That is the ratio is 2:9
We are told that there are 243 students
Required
We want to find the number of teachers
Step two:
Applying the part to part method we have
let the number of teachers be x
2/9= x/243
cross multiply we have
9x= 243*2
9x= 486
divide both sides by 9
x= 54
Hence there are 54 teachers
Answer: The required values are
x = 12 units, ST = 60 units and SU = 120 units.
Step-by-step explanation: Given that T is the midpoint of SU, where
ST = 5x and TU = 3x + 24.
We are to find the values of x, ST and SU.
Since T is the midpoint of SU, so we get
So, the value of x is 12.
Therefore,
and
Thus, the required values are
x = 12 units, ST = 60 units and SU = 120 units.
