Q3a) How many lengths of string, each 53 cm long can be cut from a ball containing 25
meters? (2 mks)

b) What length of string, in millimeters
remains? (2 mks)
​

Part (a)

1 meter = 100 cm

25 meters = 2500 cm multiply both sides by 25

Divide the 2500 cm over the 53 cm to get 2500/53 = 47.1698

Ignore the stuff after the decimal point. This means we can cut exactly 47 smaller bits of string, each 53 cm long

Part (b)

We found that we can cut exactly 47 smaller bits of string, each 53 cm long. That takes up 47*53 = 2491 cm overall

The leftovers would be 2500 - 2491 = 9 cm which isn't longer than 53 cm

Convert 9 cm to mm by multiplying by 10 (because 1 cm = 10 mm).

9 cm = 90 mm