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Question 9

Jenny biked 3 miles less than twice the number of miles Marcus biked. Jenny biked a total of 4 miles. Write an equation to determine how many miles Marcus biked.

A. [tex]\(3 + 2x = 4\)[/tex]

B. [tex]\(4 = 2x - 3\)[/tex]

C. [tex]\(x - 4 = 2(3)\)[/tex]

D. [tex]\(\frac{x}{4} = 2(3)\)[/tex]

Sagot :

GinnyAnsweridn
Let's solve the problem step by step to determine how many miles Marcus biked.

The problem states:
- Jenny biked 3 miles less than twice the number of miles Marcus biked.
- Jenny biked a total of 4 miles.

Let [tex]\( x \)[/tex] represent the number of miles Marcus biked.

Since Jenny biked 3 miles less than twice the number of miles Marcus biked, we can write an equation based on this description:

[tex]\[ 2x - 3 = 4 \][/tex]

This equation represents the situation as follows:
- [tex]\( 2x \)[/tex] represents twice the number of miles Marcus biked.
- Subtracting 3 from [tex]\( 2x \)[/tex] accounts for the "3 miles less".
- The right side of the equation, 4, represents the total miles Jenny biked.

To solve for [tex]\( x \)[/tex]:

1. Add 3 to both sides to isolate the term with [tex]\( x \)[/tex]:
[tex]\[ 2x - 3 + 3 = 4 + 3 \][/tex]
[tex]\[ 2x = 7 \][/tex]

2. Divide both sides by 2 to solve for [tex]\( x \)[/tex]:
[tex]\[ x = \frac{7}{2} \][/tex]
[tex]\[ x = 3.5 \][/tex]

Therefore, Marcus biked 3.5 miles.

Among the given multiple-choice options, the correct equation is:
[tex]\[ 4 = 2x - 3 \][/tex]
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