For 25 tickets total cost of option one and option two to be the same.
Step-by-step explanation:
Let us assume the total number of rides = m
for which BOTH options cost same.
Case: 1
The cost of entry fee = $5
The cost per ride = $0.65
So, the cost of m rides = m x ( Cost of 1 ride )
= m x ($0.65 ) = 0.65 m
Cost of purchasing m tickets in first ride = Entry Fee + Per ticket cost
= 5 +0.65 m ..... (1)
Case: 2
The cost of entry fee = $10
The cost per ride = $0.45
So, the cost of m rides = m x ( Cost of 1 ride )
= m x ($0.45 ) = 0.45 m
Cost of purchasing m tickets in second ride = Entry Fee + Per ticket cost
= 10 +0.45 m ..... (2)
Now, equating (1) and (2), we get:
5 +0.65 m = 10 +0.45 m
or, 0.20 m = 5
or, m = 5/0.20 = 25
or, m = 25
Hence, for 25 tickets total cost of option one and option two to be the same.
To write the problem out as an equation, let 'n' equal your number.
(15 x 1/n) - 3n
Answer:
it is 6
Step-by-step explanation:
Your weight: x lb
Friend's wt.: 86 lb
Max wt. allowed: 263 lb
Then x + 86 ≤ 263, with x in lb. You could weigh a max. of 177 lb and still be able to go on this ride.
The candy store owner should use 37.5 pounds of the candy costing $1.25 a pound.
Given:
- Candy costing $1.25 a pound is to be mixed with candy costing $1.45 a pound
- The resulting mixture should be 50 pounds of candy
- The resulting mixture should cost $1.30 a pound
To find: The amount of candy costing $1.25 a pound that should be mixed
Let us assume that the resulting mixture should be made by mixing 'x' pounds of candy costing $1.25 a pound.
Since the total weight of the resulting mixture should be 50 pounds, 'x' pounds of candy costing $1.25 a pound should be mixed with '
' pounds of candy costing $1.45 a pound.
Then, the resulting mixture contains 'x' pounds of candy costing $1.25 a pound and '
' pounds of candy costing $1.45 a pound.
Accordingly, the total cost of the resulting mixture is 
However, the resulting mixture should be 50 pounds and should cost $1.30 a pound. Accordingly, the total cost of the resulting mixture is 
Equating the total cost of the resulting mixture obtained in two ways, we get,





This implies that the resulting mixture should be made by mixing 37.5 pounds of candy costing $1.25 a pound.
Learn more about cost of mixtures here:
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