Question

A travel agency charges $64 for each bus ticket and $82 for each train ticket. Aaron has $520 to purchase tickets. If he buys 3 bus tickets, how many train tickets can Aaron buy?

Answer 1

Answer:

The total number of train tickets Aaron can buy=4

Step-by-step explanation:

a). Determine first expression

Let the number of each mode of transport be as follows;

bus ticket=b

train ticket=t

b). Determine the second expression

Let the total cost be expressed as shown;

total cost=(cost per bus ticket×number of bus tickets)+(cost per train ticket×number of train tickets)

where;

total cost=$520

cost per bus ticket=$64

number of bus tickets=b=3

cost per train ticket=$82

number of train tickets=t

replacing;

(64×3)+(82×t)=520

192+82 t=520

82 t=520-192

82 t=328

t=328/82=4

t=4

The total number of train tickets Aaron can buy=4