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.

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:

https://brainly.ph/question/1190462

https://brainly.ph/question/85763

https://brainly.ph/question/2074923

https://brainly.ph/question/67769

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