Question 1167892

Hi
Elaine had some sweets. When she ate 2/7 of them and gave 36 to her brother she had 2/7 left. How many  did she have at first.
Thanks
<pre>With the original number of sweets being S, and after eating {{{2/7}}}, she will have {{{matrix(1,3, (1 - 2/7) * S, or, 5S/7)}}} of sweets, remaining
We then get: {{{matrix(3,3, 5S/7 - 36, "=", 2S/7, 5S/7 - 2S/7, "=", 36, 3S/7, "=", 36)}}}
3S = 7(36) ------ Cross-multiplying
Original number of sweets, or {{{highlight_green(matrix(1,5, S, "=", 7(36)/3, "=", 84))}}}