High School

The total amount Ferdinand paid for 5 kilos of rice and 2 kilos of fish is less than ₱600.

a. What mathematical statement represents the total amount Ferdinand paid? Define the variables used.

b. Suppose a kilo of rice costs ₱35. What could be the greatest cost of a kilo of fish to the nearest peso?

Answer :

Final answer:

The mathematical statement representing the total amount Ferdinand paid is: Total cost = (r * x) + (f * y). The greatest cost of a kilo of fish to the nearest pesos is ₱ 212.

Explanation:

To calculate the total amount Ferdinand paid for 5 kilos of rice and 2 kilos of fish, we need to multiply the cost per kilo by the number of kilos for each item and then add the two amounts together. Let's define the variables used:

The mathematical statement representing the total amount Ferdinand paid can be written as:

Total cost = (r * x) + (f * y)

Now, let's move on to part b. We are given that a kilo of rice costs ₱ 35. We need to find the greatest cost of a kilo of fish to the nearest pesos. We can set up an inequality using the given information:

(35 * 5) + (f * 2) < 600

Simplifying the inequality, we get:

175 + (f * 2) < 600

Subtracting 175 from both sides, we have:

f * 2 < 425

Dividing both sides by 2, we get:

f < 212.5

Therefore, the greatest cost of a kilo of fish to the nearest pesos is ₱ 212.

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