Part III. Problem Solving (4 points per item) Solve the following problems. (Refer to the rubrics for scoring)
1. A factory produced 593 257 vaccines a week. However, 5 728 of them were damaged. How many were good?
2. The price of gasoline originally cost P65.00. If the price was marked up by 25%, how much was the new price?
3. Mr. Santos divided 3 542 square meters of a lot into 23 equal parts. How large was each lot?
4. A piece of wood is 24 3/8 inches long. How many 4 7/8 inches pieces of wood can be cut from it?
5. Joan's mother earned P556, P654, and P482 on Monday, Tuesday, and Wednesday respectively in her sari-sari store. How much is her average sale in three days?
1. A factory produced 593 257 vaccines a week. However, 5 728 of them were damaged. How many were good?
2. The price of gasoline originally cost P65.00. If the price was marked up by 25%, how much was the new price?
3. Mr. Santos divided 3 542 square meters of a lot into 23 equal parts. How large was each lot?
4. A piece of wood is 24 3/8 inches long. How many 4 7/8 inches pieces of wood can be cut from it?
5. Joan's mother earned P556, P654, and P482 on Monday, Tuesday, and Wednesday respectively in her sari-sari store. How much is her average sale in three days?
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Answer:
1. To find the number of vaccines that were good, we just need to subtract the number of damaged vaccines from the total number of vaccines produced:
Good vaccines = Total vaccines - Damaged vaccines
Good vaccines = 593,257 - 5,728
Good vaccines = 587,529
Therefore, there were 587,529 good vaccines.
2. To find the new price after a 25% markup, we can use the formula:
New Price = Original Price + (Markup Percentage x Original Price)
Plugging in the values, we get:
New Price = 65 + (0.25 x 65)
New Price = 65 + 16.25
New Price = 81.25
Therefore, the new price is P81.25.
3. To find the size of each lot, we can divide the total area by the number of lots:
Lot size = Total area / Number of lots
Lot size = 3,542 / 23
Lot size = 154
Therefore, each lot is 154 square meters.
4. To find the number of pieces of wood that can be cut, we need to divide the length of the wood by the length of each piece:
Number of pieces = Length of wood / Length of each piece
Number of pieces = 24 3/8 ÷ 4 7/8
Number of pieces = 24.375 ÷ 4.875
Number of pieces = 5
Therefore, 5 pieces of wood can be cut.
5. To find the average sale in three days, we need to add up the sales and divide by the number of days:
Average sale = (Sale on Monday + Sale on Tuesday + Sale on Wednesday) / 3
Average sale = (P556 + P654 + P482) / 3
Average sale = P1,692 / 3
Average sale = P564
Therefore, the average sale in three days is P564.
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