The bus fare in a city is $ 1.75. People who use the bus have the option of purchasing a monthly coupon book for $28.00. With the coupon book, the fare is reduced to $0.75.Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.
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Favorite Answer
You save $1.00 on each fare if you have the $28.00 coupon book. With 28 rides, you've recouped the cost of the book.
Ans: 28 rides per month.
Raj K
Let x be the number of times the bus to be used so that the total
monthly cost with coupon and without coupon is same
Total cost for x times without coupon=$ 1.75 x
Total monthly cost with coupon is $ 28
hence $ 1.75 x=$28 or x=28/1.75=16 times
cmcsafe
1.
• n trips Cost for people without coupon book is equal to C = 1.75 * n
• n trips cost for people with coupon book is equal to c =28+ 0.75 * n
• Break even means C=c
1.75*n=28+ 0.75*n
1*n=28
n=28
The coupon book is convenient if you make a number of trips equal to or greater than 28.
below the graphic solution of the problem
Sunday Crone
28.00/.75=37. and 28.00/1.75 = 16 Very simple and basic math
GTB
n = number of bus trips to break even. 1.75n = 20.00 +0.75n; 1.00n = 20.00; n= 20.00/1.00 = 20