Question

1 fill in the blank 2 points ben and sarah have 12 marbles. they decide to split them in a ratio of 1:2, with ben getting the smaller pile. (this means that for every marble ben gets, sarah gets 2 marbles.) how many marbles will ben get? type your answer... marbles how many marbles will sarah get? type your answer... marbles

Explanation:

Step1: Calculate total parts

The ratio of Ben to Sarah is 1:2, so total parts = 1 + 2=3.

Step2: Calculate number of marbles per part

There are 12 marbles in total. Number of marbles per part is $\frac{12}{3}=4$.

Step3: Calculate Ben's marbles

Ben has 1 part, so Ben's marbles = 1×4 = 4.

Step4: Calculate Sarah's marbles

Sarah has 2 parts, so Sarah's marbles = 2×4 = 8.

Answer:

Ben: 4 marbles
Sarah: 8 marbles