Question

Fatima and Mohammed each buys a bike.
(a) Fatima buys a city-bike which has a price of $120. She pays 60% of this price and then pays $10 per month for 6 months.
(i) How much does Fatima pay altogether? (ii) Work out your answer to part (a)(i) as a percentage of the original price of $120.

(b) Mohammed pays $159.10 for a mountain-bike in a sale. The original price had been reduced by 14%. Calculate the original price of the mountain-bike.

(c) Mohammed's height is 169 cm and Fatima's height is 156 cm. The frame sizes of their bikes are in the same ratio as their heights. The frame size of Mohammed's bike is 52 cm. Calculate the frame size of Fatima's bike.

(d) Fatima and Mohammed are members of a school team which takes part in a bike ride for charity.
(i) Fatima and Mohammed ride a total distance of 36 km. The ratio distance Fatima rides: distance Mohammed rides is 11:9. Work out the distance Fatima rides.
(ii) The distance of 36 km is only 2/23of the total distance the team rides. Calculate this total distance.​

Answer 1

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Answer 2

Answer:

Fatima and Mohammed each buys a bike.

(a) Fatima buys a city-bike which has a price of $120. She pays 60% of this price and then pays $10 per month for 6 months.

(i) How much does Fatima pay altogether? (ii) Work out your answer to part (a)(i) as a percentage of the original price of $120.

(b) Mohammed pays $159.10 for a mountain-bike in a sale. The original price had been reduced by 14%. Calculate the original price of the mountain-bike.

(c) Mohammed's height is 169 cm and Fatima's height is 156 cm. The frame sizes of their bikes are in the same ratio as their heights. The frame size of Mohammed's bike is 52 cm. Calculate the frame size of Fatima's bike.

(d) Fatima and Mohammed are members of a school team which takes part in a bike ride for charity.

(i) Fatima and Mohammed ride a total distance of 36 km. The ratio distance Fatima rides: distance Mohammed rides is 11:9. Work out the distance Fatima rides.

(ii) The distance of 36 km is only 2/23of the total distance the team rides. Calculate this total distance.