## Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the dista

Question

Algebra Mary decided to travel from home to school which is 600 metres away. She started by walking “x” metres, then ran for twice the distance she walked. Mary then decided to take the bus for the rest of the journey which 65 metres more than the distance she ran. a) State an expression in terms of x for; i) the distance Mary ran [1 mark] ii) the distance Mary travelled by bus . [2 marks] iii) the total distance travelled [ 2 marks] b) Using the balancing method, solve the equation, hence state the distance Mary walked. [4 marks]

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5 months 2021-08-26T19:49:33+00:00 1 Answers 1 views 0

Step-by-step explanation:

Distance traveled by walking = x

i) The distance Mary run = 2 *x = 2x

ii) Distance traveled by bus = 65 m more than the distance she ran

= 65 m more than 2x

Distance traveled by bus  = 2x + 65

Total distance traveled = 600 m

x + 2x + 2x +65 = 600

5x + 65 = 600

5x = 600 – 65

5x = 535

x = 535/5

x = 107

Distance Mary walked = 107 m