Question

Ben wants to buy some albino frogs for his aquarium. He has $20 to spend and the frogs cost $2.50 each. Write, solve, and interpret an inequality to find how many frogs he can afford.

Answer 1

Ben can afford to buy no more than 8 albino frogs with his $20, as each frog costs $2.50.

Step-by-step explanation:

To determine how many albino frogs Ben can afford with his $20, we need to set up an inequality. The cost of each frog is $2.50, so if we let x represent the number of frogs, the inequality to represent this situation is:

2.50x ≤ 20

To solve this inequality for x, we divide both sides by the cost of one frog, which is $2.50:

x ≤ 20 / 2.50

x ≤ 8

This tells us that Ben can afford to buy up to 8 albino frogs with his $20. Here x must be a whole number because you can't buy a fraction of a frog. Therefore, the interpretation of the inequality is that Ben can buy no more than 8 albino frogs.

Answer 2

Given:

He has $20 to spend and the frogs cost $2.50 each.

To find:

The inequality to find how many frogs he can afford.

Solution:

Let x be the number of frogs he can afford.

Cost of one frog = $2.50

Cost of x frogs = $2.50x

He has $20 to spend. It means, the total cost, i.e., $2.50x, must be less than or equal to $20.

`2.50x\leq 20`

Divide both sides by 2.50.

`x\leq (20)/(2.50)`

`x\leq 8`

Therefore, the maximum number of frogs he can afford is 8.