A bin in the gym holds 40 balls, which are a mix of
basketballs, soccer balls, and dodgeballs. The ratio
of basketballs to soccer balls is 3:1. The ratio of

soccer balls to dodgeballs is 1:4. How many basket-
balls are in the bin?

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MrRoyal MrRoyal · Answer 1 · 2021-10-26T12:31:07+02:00

The number of marbles in the bag is illustrated using proportions.

There are 15 basketballs in the bin

The given parameters are:

[tex]\mathbf{B : S = 3 : 1}[/tex]

[tex]\mathbf{S : D = 1 : 4}[/tex]

[tex]\mathbf{n = 40}[/tex]

First, we combine the ratios

[tex]\mathbf{B:S:D = 3:1:4}[/tex]

The number of basketballs is calculated as follows:

[tex]\mathbf{Basketball= \frac{B}{B + S + D} \times n}}[/tex]

So, we have:

[tex]\mathbf{Basketball= \frac{3}{3 + 1 + 4} \times 40}[/tex]

[tex]\mathbf{Basketball= \frac{3}{8} \times 40}[/tex]

[tex]\mathbf{Basketball= 3 \times 5}[/tex]

[tex]\mathbf{Basketball= 15}[/tex]

Hence, there are 15 basketballs in the bin

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