Learning Task 3: Solve The Following Problems. Write Your Solution In Your Notebook. 2 1…
Learning Task 3: Solve the following problems. Write your solution in your notebook. 2 1. A room is 8 m by 8-²/3 51212 4 m. What is the area of the room? 2. A group of volunteers packed 198 bags of rice. Each bag contained kilo of rice. How many kilograms of rice did the volunteers pack? 1 4 3 3. A baker uses 3 tablespoon of melted butter for every kilogram of flour. How many tablespoons of melted butter he used for 13- kilograms of 2 flour? 4. Aling Luz bought 3 yards of linen cloth which cost Php 72.00 per yard. 800.00 She gave Php 1 000.00 to the cashier. How much change will she receive? A
Answer:
1. To find the area of the room, we need to multiply the length and the width. The length is 8 m and the width is 8-²/3 51212 4 m.
Area = length * width
Area = 8 m * (8-²/3 51212 4 m)
To simplify the width, we can convert the fraction to a decimal.
8-²/3 51212 4 m = 8 – (2/3) * 4 m
= 8 – 8/3 m
= (24/3) – (8/3) m
= 16/3 m
Now we can substitute the values back into the formula.
Area = 8 m * (16/3) m
= (8 * 16) m² / 3 m
= 128 m² / 3 m
The area of the room is 128 m² / 3 m.
2. The group of volunteers packed 198 bags of rice, and each bag contained 1/4 kilo of rice.
To find the total quantity of rice packed, we need to multiply the number of bags by the amount of rice in each bag.
Total rice = number of bags * amount of rice in each bag
Total rice = 198 bags * (1/4) kilos
To simplify the fraction, we can divide the numerator by the denominator.
Total rice = 198 bags * 0.25 kilos
= 49.5 kilos
The volunteers packed 49.5 kilos of rice.
3. The baker uses 3 tablespoons of melted butter for every kilogram of flour. He needs to know how many tablespoons of melted butter to use for 13- kilograms of flour.
To find the number of tablespoons, we need to multiply the amount of flour (in kilograms) by the ratio of tablespoons of butter per kilogram of flour.
Tablespoons of butter = kilograms of flour * tablespoons per kilogram
Tablespoons of butter = 13- kilograms * 3 tablespoons per kilogram
To simplify the calculation, we can first convert the mixed number 13- kilograms to an improper fraction.
13- kilograms = 13 – 1/2 kilograms
= (26/2) – (1/2) kilograms
= 25/2 kilograms
Now we can substitute the values into the formula.
Tablespoons of butter = (25/2) kilograms * 3 tablespoons per kilogram
= (25/2) * 3 tablespoons
= 75/2 tablespoons
= 37.5 tablespoons
The baker used 37.5 tablespoons of melted butter for 13- kilograms of flour.
4. Aling Luz bought 3 yards of linen cloth which cost Php 72.00 per yard. She gave Php 1 000.00 to the cashier and wants to know how much change she will receive.
To find the change, we need to subtract the total cost of the linen cloth from the amount Aling Luz gave to the cashier.
Total cost of linen cloth = number of yards * cost per yard
Total cost of linen cloth = 3 yards * Php 72.00 per yard
Total cost of linen cloth = Php 216.00
Change = amount given – total cost
Change = Php 1 000.00 – Php 216.00
Change = Php 784.00
Aling Luz will receive Php 784.00 in change.
