The total amout Sophia paid for 5 kilos of rice and 2 kilos of fish is less than Php 400.
1.what mathematical statement represents the total amout Sophia paid? Define the variables used.
2.Suppose a kilo of rice costs 35. What could be the greatest cost of kilo of fish to the nearest pesos?
5r + 2f < 400
now plug in r=35 to find out about the fish
1. The mathematical statement representing the total amount Sophia paid can be expressed as:
Total amount = Cost of rice + Cost of fish
The variables used in this statement are:
- Cost of rice: The cost of 1 kilo of rice.
- Cost of fish: The cost of 1 kilo of fish.
2. To find the greatest cost per kilo of fish, we need to consider the given information that the total amount Sophia paid is less than Php 400. Let's use a variable, "x," to represent the cost per kilo of fish.
From the given information, we can develop the following inequality:
5 kilos of rice (at Php 35 per kilo) + 2 kilos of fish (at x per kilo) < Php 400
Therefore:
(5 * 35) + (2 * x) < 400
175 + (2 * x) < 400
Subtracting 175 from both sides:
2 * x < 400 - 175
2 * x < 225
To find the greatest cost of 1 kilo of fish, we divide both sides by 2:
x < 225 / 2
Thus, the greatest cost of a kilo of fish to the nearest peso can be considered as Php 112, as any value less than this will satisfy the condition that the total payment is less than Php 400.