Question

1. During a triathlon, Sharon swims 1/4 of the total route and cycles 3/5 of the remaining route. She runs the rest of the route. If she runs 3600 meters, find the total distance of the triathlon route.


2. A square foot of wall space needs 1/8 quart of paint. Terrence has 7 quarts of paints but uses 2 quarts to paint a pipe. How many square feet of wall can he paint with the rest of the paint?

My answer is 42 square ft, is it correct?

3. Victoria has a 2-pound package of flour. She uses 2/5 of the flour to make a pizza. She then uses 3/10 of the remaining flour to make bread. Find the weight of the package of flour that she has left. Express your answer as a decimal.

Answer 1

x/4 + (3/5)(3x/4) + 3600 = x
x/4 + 9x/20 + 3600 = x
times 20

5x + 9x + 72000 = 20x
72000 = 6x
x = 12000 metres -- the total distance

check:
swims 1/4 of 12000 or 3000 , leaving 9000

paint left over = 5 quarts
1 square foot takes 1/8 of quart, so
number of square ft = 5/(1/8) = 40 ft^2

Give the last one a try, let me know what you got
she bikes 3/5 of 9000, or 5400 m , leaving 3600 to run
All is good.