Lucas divides his pizza into three equal pieces for himself and his two friends. his friend teddy eats 5/8 of his piece for lunch and a further 2/5 of what remains for dinner. what fraction of the original pizza did teddy eat for dinner

He ate of the original pizza for dinner

Step-by-step explanation:

- Lucas divides his pizza into three equal pieces for himself and his two

  friends

∵ There are 1 pizza

∵ It is divided into 3 equal parts

∴ Each part is

∴ Teddy takes of the pizza

- Teddy eats of his piece for lunch and a further of what

  remains for dinner

∵ His piece is

∵ He eats of his piece for lunch

∴ He eats for lunch = × =

- Let us find the remaining of his piece for dinner

∵ The remaining = -

- Make L.C.M for the denominators

∵ The L.C.M of 3 and 24 is 24

∵ = =

∴ The remaining = -

∴ The remaining = =

∵ He ate of the remaining for dinner

∵ The remaining of his piece =

∴ He ate for dinner ⇒ ×

∴ He ate for dinner ⇒ =

* He ate of the original pizza for dinner

answer: a and c are correct

step-by-step explanation:

the +5 is the vertical translation

the added negative symbol in front is the reflection over the y-axis