Question

A bag contains white marbles and yellow marbles, 46 in total. The number of white marbles is 1 more than 4 times the number of yellow marbles. How many white marbles are there?

Answer 1

There are 37 white marbles.

Explanation:

Let the white marbles be represented as w.

Let the yellow marbles be represented as y.

The bag contains both white marbles and yellow marbles which add up to 46 marbles. This means that:

y + w = 46 ___________(1)

The number of white marbles is 1 more than 4 times the number of yellow marbles. This means that:

w = 1 + 4y ___________(2)

First, we find y by putting (2) in (1), thereafter, we find w:

=> y + 1 + 4y = 46

y + 4y = 46 - 1

5y = 45

y = 45 / 5 = 9 marbles

=> w = 1 + 4(9)

w = 1 + 36 = 37 marbles

There are 37 white marbles.