Let x be the number of dimes
and y be the number of quarters
Total number of coins = 12
So number of dimes + number of quarters = total number of coins
x + y = 12 ---------> equation 1
We know, 1 Quarter = 25 cents, 1 Dime = 10 cents, total cents = 196
y quarters = 25y cents , x dimes = 10x cents
x dimes + y quarters = 195 cents
10x + 25y = 195 -----------> equation 2
Now solve both equations
x + y =12, we solve for y by subtracting x on both sides
y = 12-x
Now substitute y in second equation
10x + 25(12-x) = 195
10x + 300 -25x = 195 (combine like terms)
-15x + 300 = 195 (subtract 300 on both sides)
-15x = -105 ( divide by -15)
x=7
y= 12-x
y=12-7 = 5
The number of dimes = 7
Number of quarters = 5
Answer:
A. 8 gallons
B. Drive by car is $59.4 cheaper than travel by train
Step-by-step explanation:
According to the scenario, given data are as follows,
Total drive = 400 miles
Total drive per gallon = 50 miles
Fuel cost per gallon = $4.45
A. So, Total fuel required to drive 400 miles can be calculated as follows,
Total fuel required = Total drive ÷ Total drive per gallon
By putting value, we get,
Total fuel required = 400 ÷ 50
= 8 gallons
B. Total cost if drive by car = 8 gallons × $4.45 = $35.6
Cost if travel by train = $95
Hence it is clearly shows that drive by car is much cheaper than travel by train.
Cost saved by travel by car = $95 - $35.6 = $59.4
So, drive by car is $59.4 cheaper than travel by train.
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Solution:
Cost for single ticket = t dollars
Discount percent per ticket = 5%
Number of tickets bought = 10
Total discount for 10 group tickets = Number of tickets × Discount amount
= 10 × 0.05t
Total discount for 10 group tickets = 10 · 0.05t
Amount of discount per ticket = 5%t
= 
t
= 0.05t
Amount of discount per ticket = 0.05t
Number of tickets = 10
Cost of buying 10 single tickets = 10t
Answer:
-135
Step-by-step explanation:
-5(9 - 6k)
Let k = -3
-5 ( 9 - 6*-3)
-5 ( 9 + 18)
-5 ( 27)
Answer:
1175/954 there your answer
