The price of a table is 150% greater than the price of a chair.
Determine the individual prices for a table and a chair separately.
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The price of a table is 150% greater than the price of a chair.
Determine the individual prices for a table and a chair separately.
To solve this problem, let's follow these steps:
Step 1: Define the variables. Assume the price of a chair is dollars.
Step 2: Determine the price increase for the table. Since the table's price is 150% greater than the chair's, calculate 150% of , given by .
Step 3: Compute the table's price. The price of the table is the sum of the chair's price and the calculated increase: .
Step 4: Simplify the expression. This results in .
Now, substituting values from the given options (since ) reveals the following key information:
For option 3, with Chair at , assuming Chair's price to be :
.
Verification shows a chair price of and table price of as per our calculations. This matches our established equation, confirming it as the correct choice where a chair costs and a table costs .
Thus, the individual prices are , which aligns with option 3 in given choices.
Chair 100 $ and a table 150 $
Calculate 15% of 100:
150% of means multiply by 1.5, but 150% greater means add 150% to the original. So if chair = $100, then 150% greater = $100 + (1.5 × $100) = $250!
Use a variable! Let the chair price = C. Since table is 150% greater: Table = C + 1.5C = 2.5C. Now check which answer choice fits this relationship.
You can, but understanding the mathematical relationship helps you solve similar problems faster! Always verify that table price ÷ chair price = 2.5 for any correct answer.
That's the same thing! '150% more expensive' and '150% greater' both mean you add 150% of the original price to get the new price.
Use the relationship: table price should be 2.5 times chair price. For option 3: $250 ÷ $100 = 2.5 ✓. Quick mental math works perfectly!
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