Question

Ian picked 5 times as many berries as Michelle. Joe take seven times as many theories as Michelle. Together they picked 208 berries. how many berries did Joe pick? draw a diagram and explain how you found your answer

Answer 1

Ian =x
Michelle=y
Joe=z

5y=x
7y=z
so 5z=35y=7x
5z=7x
208=x+y+z
substitute
x and z to get
208=(5y)+y+(7y) or
208=13 y
divide both sides by 13
michelle picked 16
Joe picked 7 times than Michelle so
16 times 7=112

Answer 2

$x-\ number \ of\ Michelle's\ berries\\ y-\ number\ of \ Joe's\ berries\\ z-number\ of \ Ian's\ berries\\\\ z=5x\\ y=7x\\ x+y+z=208\\\\ x+5x+7x=208\\\\ 13x=208\ \ \ \ | divide\ by\ 13\\\\x=16\\\\ y=16*7=112\\\\ Joe\ picked\ 12\ berries.$