Solving Algebraic Equations based on Word Problems
Ice creams ar...
Question
Ice creams are on a sale! Each ice cream costs $2 less than the original price. David buys 3 of them and it costs him $18. Find the original price of each ice cream.
A
$4
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B
$5
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C
$15
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D
$8
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Solution
The correct option is D$8 Number of ice creams bought =$3
Let the original price of each ice cream be $x
The selling price of each ice cream =$(x−2)
Total selling price of 3 ice creams =$(x−2)×3=$3(x−2)
Given, total selling price of 3 ice creams is $18. ⇒3(x−2)=18
Step 1: Divide both sides by 3 to eliminate 3 on the left side of the equation. 3(x−2)3=183x−2=6
Step 2: Add 2 to both sides of the equation to eliminate the constant on the left side of the equation. x−2+2=6+2x=8
Hence, the original price of each ice cream is $8.