Each marble bag sold by Hans's Marble Company contains 8 purple marbles for every 5 green marbles. If a bag has 30 green marbles

Question

Rom4ik [11]

3 years ago

9

Each marble bag sold by Hans's Marble Company contains 8 purple marbles for every 5 green marbles. If a bag has 30 green marbles

, how many purple marbles does it contain?

Mathematics

1 answer:

gregori [183] · Answer 1 · 2021-12-04T19:30:53+03:00

We can set up a proportion since we know the ratio between the # of purple marbles and the # of green marbles.

A ratio is a way to compare two different values: for every 8 purple marbles there are 5 green marbles

<h2> $\frac{8}{5} = \frac{p}{30}$ </h2><h2 /><h2>when we cross multiply, we get 5p = 240 </h2><h2>we divide both sides by 5 to isolate the variable </h2><h2 /><h3><u>There are 48 purple marbles </u></h3>