Jack hit a combined 18 doubles and triples last baseball season. A double is two bases and a triple is three bases. If he had 42 total bases in these 18 hits, how many of these hits were triples? The solution is

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Answer:

I wanna say 7 but I could be wrong

Step-by-step explanation:

The number of triples is 6.

What is a linear equation?

A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

For the given situation,

Total number of hits = 18

Doubles + triples = 18

Let x be the number of triples. Then

Number of doubles = 18-x

Number of bases for doubles = 2 bases

Number of bases for triples = 3

The equation for the above situation is

⇒ [tex]2(18-x)+3x=42\\[/tex]

⇒ [tex]36-2x+3x=42[/tex]

⇒ [tex]x=42-36[/tex]

⇒ [tex]x=6[/tex]

Hence we can conclude that the number of triples is 6.

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