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Define x
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Let x be the price of a box of standard chocolates.
Standard chocolate = x
Deluxe chocolate = x + 5
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Construct the equations:
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2 boxes of Deluxe chocolate = 2(x + 5)
3 boxes of standard chocolate = 3x
She paid a total of $47.50
⇒ 2(x + 5) + 3x = 47.5 .
2x + 10 + 3x = 47.5 // Apply distributive property
5x + 10 = 47.5 // Combine like terms
5x = 37.5 // Subtract 10 from both sides
x = 7.5 // Divide by 5
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Answer: Price of a standard chocolate is $7.50.
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