Question

A large fruit cake weighs 3kg.Belinda eats 40 percent of the cake and Graham eats 25 percent of the remainder.What is the mass of the cake left over?​

A) 1.2 kg
B) 1.5 kg
C) 1.8 kg
D) 2.0 kg

Answer 1

After Belinda eats 40% of the cake, there is 1.8 kg remaining. Graham then eats 25% of this remainder, which is 0.45 kg. Therefore, 1.35 kg of the cake is left over, but this answer is not listed in the provided options.

Step-by-step explanation:

To solve how much cake is left over after Belinda and Graham have eaten their portions, we first calculate what 40 percent of the original 3kg is:

40% of 3 kg = 0.40 × 3 kg = 1.2 kg

Belinda eats 1.2 kg of the cake, so there is 3 kg - 1.2 kg = 1.8 kg remaining.

Now, Graham eats 25 percent of the remaining 1.8 kg:

25% of 1.8 kg = 0.25 × 1.8 kg = 0.45 kg

After Graham eats his portion, there is 1.8 kg - 0.45 kg = 1.35 kg left.

However, looking at the multiple-choice options provided, none of them is exactly 1.35 kg. The closest option is 1.5 kg, which indicates there might be a typo or error in the given choices.