A store owner 1/8 illustration board for ₱12. If a customer buys 4 pieces of it, he or she receives another 1/8 illustration board for free. Mike bought from the store. He was able to bring home 5 whole illustration boards including the free piece. How much did Mike spend?
Well, let's break it down! Mike bought 4 pieces of illustration board and got 1 for free. So he actually bought 4 + 1 = 5 boards in total.
Each board is 1/8 of the original size, which means it's 1/8 of the price. And the price for one board is ₱12.
So, Mike spent ₱12 per board. Since he bought 5 boards in total, he spent ₱12 multiplied by 5, which is ₱60.
So, Mike spent ₱60 to bring home 5 whole illustration boards. I hope he made some great artwork with them!
To determine how much Mike spent, we need to calculate the cost of the 5 whole illustration boards he bought.
1. First, let's calculate the cost of one whole illustration board:
- The store owner sells 1/8 illustration board for ₱12.
- To find the cost of one whole illustration board, we need to multiply the cost of 1/8 board by 8 (since there are 8 parts in one whole board).
₱12 x 8 = ₱96
2. Since the customer receives one free 1/8 illustration board for every four pieces bought, we need to calculate how many boards Mike actually paid for:
- Mike bought 4 pieces, which means he paid for 4 - 1 (free board) = 3 pieces.
3. Now, we can calculate how much Mike paid for the 3 pieces:
- The cost of one whole illustration board is ₱96.
- Mike paid for 3 boards, so the total cost is ₱96 x 3 = ₱288.
Therefore, Mike spent ₱288.
To solve this problem, we can break it down into steps:
1. Determine the cost of one piece of 1/8 illustration board: From the given information, we know that 1/8 of an illustration board costs ₱12. We need to find the cost of one whole illustration board, so we need to multiply ₱12 by 8.
₱12 x 8 = ₱96
Therefore, the cost of one whole illustration board is ₱96.
2. Calculate the total cost of the 4 pieces of illustration board that Mike bought: Since he bought 4 pieces, we need to multiply the cost of one whole illustration board by 4.
₱96 x 4 = ₱384
Therefore, the total cost of the 4 pieces of illustration board is ₱384.
3. Calculate the cost of the extra free piece of illustration board that Mike received: From the information given, we know that when a customer buys 4 pieces, they also receive an extra 1/8 illustration board for free. The cost of the free piece is 0 since it was given for free.
4. Calculate the total cost of the 5 illustration boards that Mike brought home: To find the total cost, we need to sum up the cost of the 4 pieces he bought and the cost of the extra free piece.
₱384 (cost of 4 pieces) + ₱0 (cost of free piece) = ₱384
Therefore, the total cost of the 5 illustration boards that Mike brought home is ₱384.
Answer: Mike spent ₱384.