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

Answer:

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

Step-by-step 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 $1000+300x=2500+150x$

$1000+300x=2500+150x\\300x-150x=2500-1000\\150x=1500\\x=\frac{1500}{150}=10$

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