Mrs Lee wrote the word RESILIENCE repeatedly as shown. Study the letters below carefully and answer the questions that follow.

1. Find the number of complete repetitions of the word 'RESILIENCE' in the first 100 letters

The word 'RESILIENCE' has $10$ letters.
Number of repetitions = $100 \div 10 = 10$

2. Calculate the total number of 'E's

There are $3$ 'E's in each word 'RESILIENCE'.
Total number of 'E's = $10 \times 3 = 30$

1. Find the number of complete repetitions of the word 'RESILIENCE' needed to get close to 101 'E's.

Each word has $3$ 'E's.
$101 \div 3 = 33$ with a remainder of $2$.
This means there are $33$ complete words, which contain $33 \times 3 = 99$ 'E's.

2. Calculate the total number of letters up to the 101st 'E'.

The $33$ complete words contain $33 \times 10 = 330$ letters.
The remaining $2$ 'E's must be found in the $34$th word.
In the word 'RESILIENCE', the $2$nd 'E' is at the $7$th position.
Total letters = $330 + 7 = 337$.