Ian picked 5 times as many berries as Michelle. Joe picked 7 times as many berries as Michelle. Together, they picked 208 berries. How many berries did Joe pick?

Draw a diagram and explain how you found your answer.

x − n u mb er o f M i c h e ll e ′ s b err i es y − n u mb er o f J o e ′ s b err i es z − n u mb er o f I a n ′ s b err i es z = 5 x y = 7 x x + y + z = 208 x + 5 x + 7 x = 208 13 x = 208 ∣ d i v i d e b y 13 x = 16 y = 16 ∗ 7 = 112 J oe p i c k e d 12 b err i es .

Answered by luana | 2024-06-10

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

Answered by apologiabiology | 2024-06-10

Joe picked 112 berries. To find this, we set Michelle's berries as x , leading to the equations for Ian and Joe. By solving the equation 13 x = 208 , we find x = 16 and subsequently calculate Joe's amount as 7 x = 112 .
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Answered by luana | 2024-12-26