Question

Difficulty: EasySolving One-Variable Linear Equations

Read the scenario below and solve for the unknown value. Enter your exact numerical answer in the blank provided.

Answer:A mechanic orders a set of spark plugs that cost 8each,plusaflatshippingfeeof8 each, plus a flat shipping fee of 12. If the total charge is $60, the mechanic ordered 【6】 spark plugs.

Answer

6
By setting up the equation 8x+12=608x + 12 = 60, we can isolate xx. Subtracting the constant 1212 from both sides gives 8x=488x = 48. Dividing by 88 yields x=6x = 6. Therefore, 66 spark plugs were ordered.

Step-by-Step Solution

1
Set up a linear equation to represent the word problem.
8x+12=608x + 12 = 60
Let xx be the number of spark plugs. Multiplying the cost per plug (8)by8) by x andaddingtheflatshippingfee( and adding the flat shipping fee ( 12) equals the total charge ($60).
2
Subtract 12 from both sides of the equation.
8x=488x = 48
To begin isolating the variable xx, the constant term must be removed from the left side of the equation.
3
Divide both sides by 8.
x=6x = 6
To completely isolate xx, divide by its coefficient. This reveals the number of spark plugs ordered.

Key Concept

Solving one-variable linear equations from a real-world scenario.
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