In a shop, 4 notebooks cost the same as 1 box of pencils. Jennifer bought 8 notebooks and 4 boxes of pencils for $144. Find the cost of 1 box of pencils.A box of pencils costs $.
Question
In a shop, 4 notebooks cost the same as 1 box of pencils. Jennifer bought 8 notebooks and 4 boxes of pencils for .
Solution
Let's solve this step by step:
Step 1: From the problem, we know that 4 notebooks cost the same as 1 box of pencils. So, we can say that the price of 1 notebook is the same as the price of 1/4 box of pencils.
Step 2: Jennifer bought 8 notebooks and 4 boxes of pencils for 144.
Step 3: Since the price of 1 notebook is the same as the price of 1/4 box of pencils, we can substitute the price of 1 notebook in the equation with 1/4 box of pencils. So, the equation becomes: 8*(1/4 box of pencils) + 4 boxes of pencils = $144.
Step 4: Simplify the equation: 2 boxes of pencils + 4 boxes of pencils = $144.
Step 5: Combine like terms: 6 boxes of pencils = $144.
Step 6: Solve for the price of 1 box of pencils: 1 box of pencils = $144 / 6.
Step 7: Calculate the price: 1 box of pencils = $24.
So, a box of pencils costs $24.
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