For the question ... refer to the answer here ... (Note: I have re-written my answer)
www.onsponge.com/forum/35-thinkingmathon...math-again.html#1126
17 balls are divided into 4 groups, each with a different number of balls.
(a) What is the smallest possible number if balls in the biggest group?
(b) If the number of balls in the largest group must be 7, list 3 different ways to divide the 17 balls. Write your answer in the form (a,b,c,7), where a, b and crepresent the different number of balls in the 3 groups.
a) 6
(a,b,c,d) --> (2,4,5,6)
b) (2,3,5,7); (4,5,1,7); (3,2,5,7)
Richard went shopping with 4 times as many $5 notes as $2 Notes. He used 46 pieces of $5 notes to buy a watch. After which, the number of his $5 notes was 1/6 of the number of $2 notes. Find the total value of the $5 notes and $2 notes that Richard brought along for shopping.
At first there is a ratio of:
$5 --> 4u
$2 --> 1u
At end the ratio was:
$5 --> 1u
$2 --> 6u
However, there was no change in the $2 notes therefore we make the units for $2 the same
At first:
$5 --> 4u x6 = 24u
$2 --> 1u x6 =6u
At end:
$5 --> 1u
$2 --> 6u
The change in $5 is because of the 46 $5 notes being spent:
--> 24u - 1u --> 23u
23u --> 46 (number of $5 notes used)
u-->2
At first there was (number of notes):
$5 --> 24u --> 24x2 --> 48
$2 --> 6u --> 6x2 --> 12
At first there was (value of notes):
$5 --> 48x$5 = $240 in $5 notes
$2 --> 12x$2 = $24 in $2 notes
Total value is $264
