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:
1/18
Step-by-step explanation:
5/6 of an estate is to be divided among relatives
Let the total estate = 1
Remaining estate = 1 - 5/6
= 6-5/6
= 1/6 of the estate
Of the remaining a state 1/3 goes to the American cancer society
what fraction of the estate goes to the American Cancer Society
= 1/3 × 1/6
= 1/18
The fraction of the estate that goes to the American Cancer Society = 1/18
Answer:
x - y = 0
Step-by-step explanation:
General form of equation of straight line is
ax + by = c
that is we have to keep terms containing x and y on LHS and term independent of x and y on RHS.
given
x = y
there, no term independent of x and y
now we have to bring y one RHS
for that we subtract y from LHS and RHS
x - y = y -y
=> x - y = 0
Thus, option x - y = 0 is the correct answer.
