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. $\dfrac{3x}{2}$

Step-by-step 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 = $1+\dfrac{1}{2}=\dfrac{2(1)+1}{2}=\dfrac{3}{2}$

⇒Amy carries $\dfrac{3}{2}$ 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 =  $\dfrac{3}{2}x=\dfrac{3x}{2}$

Hence, the correct answer is option C. $\dfrac{3x}{2}$