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vlada-n [284]
3 years ago
11

Stuck, please help and give explanation thank you.

Mathematics
1 answer:
lana66690 [7]3 years ago
5 0
----------------------------------------------------
Define x
----------------------------------------------------
Let x be the price of a box of standard chocolates.
Standard chocolate = x
Deluxe chocolate = x + 5

----------------------------------------------------
Construct the equations:
----------------------------------------------------
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

-----------------------------------------------------------------------
Answer: Price of a standard chocolate is $7.50.
-----------------------------------------------------------------------

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