In a shop, 5 stickers cost the same as 1 eraser. James bought 10 stickers and 3 erasers for $25. Find the cost of 1 eraser.An eraser costs $.Recommended Heuristic: Use Equations
Question
In a shop, 5 stickers cost the same as 1 eraser. James bought 10 stickers and 3 erasers for .Recommended Heuristic: Use Equations
Solution
Let's solve this problem step by step:
Step 1: Let's denote the cost of 1 eraser as E. Since 5 stickers cost the same as 1 eraser, the cost of 1 sticker is E/5.
Step 2: James bought 10 stickers and 3 erasers. So, the total cost is 10*(E/5) + 3*E = $25.
Step 3: Simplify the equation: 2E + 3E = $25.
Step 4: Combine like terms: 5E = $25.
Step 5: Solve for E by dividing both sides of the equation by 5: E = $25/5.
Step 6: E = $5.
So, the cost of 1 eraser is $5.
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