Learning Task 3: Translate Each Problem Into A Mathematical Equation T…

Learning Task 3: Translate each problem into a mathematical equation then
solve:
1. i am 24 years old. My age is 2 less than twice my sister’s age.
2. Arvin has a bake shop. He sold 85 cakes today. That is 16 cakes
fewer than yesterday. How many cakes did he sell yesterday?
3. Ann has 56 stamps that is 6 less than one-half of my stamps. How
many stamps do I have
4. This month Chiz eamed only of his earnings last month. If his
eaming last month is P12,600. How much did he earn this month?
5. In Baguio City a horse ride costs P120.00 per person for the first 30
minutes and P50.00 for every additional 10 minutes. If you spent
P270.00 for a horse ride, for how long did you ride?​

Learning Task 3: Translating Into Mathematical Equation and Solving Problems

1. Mathematical Equation: 24 = 2x – 2

Answer: 13 years old

2. Mathematical Equation: 85 = x – 16

Answer: 101 cakes

3. Mathematical Equation: 56 = ½ x – 6

Answer: 124 stamps

4. Mathematical Equation: x = P 12,600

Answer: P 12,600

5. Mathematical Equation: 270 = 120 + (50x / 10)

Answer: 60 minutes or 1 hour

Step-by-Step Explanation:

To solve the problems above, you have to translate the problems into Mathematical equations where “x” represents the unknown value. Below are the explanations on how to translate into Mathematical equations and the solutions in solving the problems:

1. The “less than” means that you have to subtract 2 from twice the sister’s age and “twice” means that you have to multiply the sister’s age by 2.

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24 = 2x – 2

24 + 2 = 2x

26 = 2x

26/2 = 2x/2

13 = x

Sister is 13 years old.

2. The “fewer than” means that you have to subtract 16 from the number of cakes sold yesterday.

85 = x – 16

85 + 16 = x

101 = x

101 cakes were sold yesterday.

3. The “less than” means that you have to subtract 6 from one-half of the stamps.

56 = ½ x – 6

56 + 6 = ½ x

62 = ½ x

(2) (62) = (½ x) (2)

124 = x

There are 124 stamps.

4. The problem stated that Chiz eamed only of his earnings last month, therefore, if his earning last month was P 12,600, then he earned the same amount this month.

x = P 12,600

He earned P 12,600 this month.

5. Find the additional minutes of the ride, then, add it to the first 30 minutes.

270 = 120 + (50x / 10)

270 – 120 = 50x/10

150 = 50x/10

(10) (150) = (50x/10) (10)

1500 = 50x

1500/50 = 50x/50

30 = x

The additional is 30 minutes.

30 mins + 30 mins = 60 mins or 1 hour

The ride is 60 minutes or 1 hour long.

To study more examples of solving equations, visit the links:

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