Question

Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month. James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month. Is there any number of months after which both Wolverine and James Bond will have paid the same amount?

Answer 1

Both Wolverine and James Bond will have paid the same amount after 10 months.

Explanation:

Let x denotes the number of months after which both Wolverine and James Bond will have paid the same amount.

As Wolverine makes a $1000 down payment for a motorcycle and then pays $300 per month,

Amount paid by Wolverine in x months is equal to
`1000+300x`

As James Bond makes a $2500 down payment for a motorcycle and then pays $150 per month,

Amount paid by James Bond in x months is equal to
`2500+150x`

To find number of months after which both Wolverine and James Bond will have paid the same amount,

solve
`1000+300x=2500+150x`

`1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=(1500)/(150)=10`

So, both Wolverine and James Bond will have paid the same amount after 10 months.