Question

A bag contains 105 marbles, some red and some white. The ratio of red marbles to white ones is 1:6. How many red marbles are there?​

Answer 1

To determine the number of red marbles in the bag, the total number of marbles (105) was divided by the total number of parts (7) to find the size of one part (15 marbles). Since the ratio of red to white marbles is 1:6, it equates to 15 red marbles out of 105.

Step-by-step explanation:

To find out how many red marbles there are in a bag with a total of 105 marbles and a ratio of red to white marbles of 1:6, we first need to translate the ratio into parts. The ratio can be seen as 1 part red, 6 parts white, which means there are 7 parts in total. Given that there are 105 marbles in the bag, we can divide this total number by the number of parts to determine the size of one part:

1. Divide the total number of marbles by the total number of parts: 105 marbles ÷ 7 parts = 15 marbles per part.
2. Since the ratio of red to white marbles is 1:6, there is 1 part of red marbles. Multiply the size of one part by the number of red parts: 15 marbles per part × 1 part = 15 red marbles.

So, there are 15 red marbles in the bag.