Question

Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill. Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur. If Arthur carries a total of x crumbs to the anthill, how many crumbs will Amy bring to the anthill, in terms of x?A. x/2B. xC. 3x/2D. 2xE. 3x

Answer 1

Answer: C.
`(3x)/(2)`

Explanation:

Given : Two ants, Arthur and Amy, have discovered a picnic and are bringing crumbs back to the anthill.

Amy makes twice as many trips and carries one and a half times as many crumbs per trip as Arthur.

here , one and a half =
`1+(1)/(2)=(2(1)+1)/(2)=(3)/(2)`

⇒Amy carries
`(3)/(2)` as many crumbs per trip as Arthur.

If Arthur carries a total of x crumbs to the anthill , then the number of crumbs brought by Amy =
`(3)/(2)x=(3x)/(2)`

Hence, the correct answer is option C.
`(3x)/(2)`