Not asking, but these kind of questions are hard, and you might want to exercise your brain with this problem.
Lina spent 1/5 of her money on 8 pencils and 2 markers. The cost of each marker is twice the cost of each pencil. She bought some more markers with 5/8 of her remaining money. How many markers did Lina buy altogether?
How much money did she have originally?
To solve this problem, we need to break it down into steps:
Step 1: Determine the cost of each pencil.
Let's assume the cost of each pencil is 'x'.
Since the cost of each marker is twice the cost of each pencil, the cost of each marker is '2x'.
Step 2: Calculate the total amount spent on pencils and markers.
Lina spent 1/5 of her money on 8 pencils and 2 markers.
So, the total cost for pencils and markers is 8x (8 pencils at a cost of 'x' each) + 2(2x) (2 markers at a cost of '2x' each).
Step 3: Calculate the remaining money.
Lina spent 1/5 of her money on pencils and markers, leaving her with 4/5 of her money.
Therefore, the remaining money is (4/5) of her original money.
Step 4: Calculate the amount spent on additional markers.
Lina bought some more markers with 5/8 of her remaining money.
So, the amount spent on additional markers is (5/8) * (4/5) * original money.
This simplifies to (1/2) * original money.
Step 5: Calculate the total number of markers.
To find the total number of markers, we need to add the number of markers Lina bought initially and the number of additional markers she bought in step 4.
Let's summarize the information:
- Each pencil costs 'x'.
- Each marker costs '2x'.
- Lina spent 1/5 of her money on 8 pencils and 2 markers.
- Lina bought some more markers with 5/8 of her remaining money.
- We need to find the total number of markers.
Hope this helps!
To solve this problem, we need to break it down into steps and use simple arithmetic operations.
Step 1: Let's assume Lina's total money is "M".
Step 2: Lina spent 1/5 of her money on 8 pencils and 2 markers. Since the cost of each marker is twice the cost of each pencil, let's assume the cost of each pencil is "P" and the cost of each marker is "2P".
So, the total amount spent on pencils is 8P, and the total amount spent on markers is 2 * 2P = 4P.
The money remaining after this purchase can be calculated as: M - (8P + 4P) = M - 12P.
Step 3: Lina used 5/8 of her remaining money to buy some more markers. This means she spent 5/8 * (M - 12P) on markers.
Step 4: To find out how many markers she bought altogether, we need to calculate the total number of markers. Since the cost of each marker is 4P, we can divide the amount spent on markers (5/8 * (M - 12P)) by the cost of each marker (4P).
Total number of markers = (5/8 * (M - 12P)) / (4P).
Please note that this calculation will provide the answer in terms of "P", as we don't have the specific values for "M" and "P". You can substitute the values into the formula to get the final answer.
m = 2p
8p+2m = 8p+4p = 12p
since 12 pencils cost 1/5 of her money,
5/8 of the remaining 4/5 = 1/2 of the money
so, she bought another 30 pencils, making 38 in all