there are 3 cars that in total weigh 4.178 tonnes. Car A weighs 145 kgs more then car B, and car C weighs 260kgs less then car B. How much does car B weigh in tonnes?

Convert to kilograms: Convert the total weight of the 3 cars into kilograms to match the units of the individual car weights. 1 tonne = 1000 kilograms, so 4.178 tonnes = 4.178 * 1000 kilograms. Calculation: 4.178 * 1000 = 4178 kilograms.Define car weights: Let the weight of car B be x kilograms. According to the problem, car A weighs x + 145 kilograms and car C weighs x - 260 kilograms.Write total weight equation: Write an equation that represents the total weight of the 3 cars. Expression: x (car B) + (x + 145) (car A) + (x - 260) (car C) = 4178 kilograms.Simplify and solve: Simplify the equation and solve for x. Calculation: x + x + 145 + x - 260 = 4178 3x - 115 = 4178 3x = 4178 + 115 3x = 4293 x = 4293 / 3 x = 1431 kilograms.Convert to tonnes: Convert the weight of car B from kilograms to tonnes. Calculation: 1431 kilograms / 1000 = 1.431 tonnes.

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there are $3$ cars that in total weigh $4.178$ tonnes. Car $A$ weighs $145 \, \text{kgs}$ more then car $B$ , and car $C$ weighs $260\,\text{kgs}$ less then car $B$ . How much does car $B$ weigh in tonnes?

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Q. there are

3

cars that in total weigh

4.178

tonnes. Car

A

weighs

145 \, \text{kgs}

more then car

B

, and car

C

weighs

260\,\text{kgs}

less then car

B

. How much does car

B

weigh in tonnes?

Convert to kilograms: Convert the total weight of the $3$ cars into kilograms to match the units of the individual car weights. $\newline$ $1$ tonne $= 1000$ kilograms, so $4.178$ tonnes $= 4.178 \times 1000$ kilograms. $\newline$ Calculation: $4.178 \times 1000 = 4178$ kilograms.
Define car weights: Let the weight of car B be $x$ kilograms. According to the problem, car A weighs $x + 145$ kilograms and car C weighs $x - 260$ kilograms.
Write total weight equation: Write an equation that represents the total weight of the $3$ cars. $\newline$ Expression: $x$ (car B) + $(x + 145)$ (car A) + $(x - 260)$ (car C) = $4178$ kilograms.
Simplify and solve: Simplify the equation and solve for $x$ . $\newline$ Calculation: $x + x + 145 + x - 260 = 4178$ $\newline$ $3x - 115 = 4178$ $\newline$ $3x = 4178 + 115$ $\newline$ $3x = 4293$ $\newline$ $x = \frac{4293}{3}$ $\newline$ $x = 1431$ kilograms.
Convert to tonnes: Convert the weight of car B from kilograms to tonnes. $\newline$ Calculation: $1431$ kilograms $/$ $1000$ = $1.431$ tonnes.