Question

A toad is 25 feet north of a bullfrog. Every time the toad jumps 1 foot, the bullfrog jumps 3 feet due north. How many jumps will it take for the bullfrog to pass the toad?

a) 6 jumps
b) 7 jumps
c) 8 jumps
d) 9 jumps

Answer 1

It will take the bullfrog 12 jumps to pass the toad.

Step-by-step explanation:

To solve this problem, we can set up an equation to represent the distance each animal travels after a certain number of jumps. Let's say x represents the number of jumps the bullfrog makes.

The toad travels 1 foot per jump, so the distance the toad travels is 1x.

The bullfrog travels 3 feet per jump, so the distance the bullfrog travels is 3x.

Since the bullfrog starts 25 feet north of the toad, we can set up the equation: 25 + 3x = 1x, which we can simplify to 25 = -2x.

Now, we can solve for x by dividing both sides of the equation by -2: -12.5 = x.

Since x represents the number of jumps, we can round it to the nearest whole number, which is 12. Therefore, it will take the bullfrog 12 jumps to pass the toad.