Question

Please answer these two questions on ratios.

Q1) In the month of June, Rosie and Dan have a running competition. The distances that they run are in the ratio 5:2.

Rosie runs 28.5 more km than Dan, what is their combined running distance in June? (2 marks)

Q2) A nutritionalist advises every meal should be carbohydrates to protein to fat in the ratio 5:2:3.

Kate plans a meal with 22g of protein, how many grams of carbohydrates should she plan in this meal? (2 marks)

Answer 1

1. first you have to find what they ran so what I did was take 28.5 km and divided by 3 because the ratio is 5:2 and 3 is the number difference. 28.5 km divided by 3 = 9.5 so every ratio is going into a 9.5 km part. For example, if the ratio was 2:1 the km ratio would be 19 km: 9.5 km.  so I to 9.5 x 5=47.5 km and 9.5*2=19 km
so the 5:2 ratio is equal to 47.5 km : 19 km
The combined running distance would be 66.5 km
 
2. If the recommended ratio 5:2:3 and Kate wants to have 22 grams of protein(middle) that means her carbohydrates and fat would have to go up      2 x11 =22 so you would do the 5:2:3 ratio and times all three by 11. so the new ratio is 55:22:33. the 55 are your carbohydrates, the 22 are your proteins, and the 33 are your fats. The new ratio is 55:22:33

If Kate plans to eat 22g of protein she woulg have to have 55g of carbohydrates with it. Also she will have to have 33g of fats.

Hope this helps!
Tell me if these are correct.