Question 27
Jane has four doting grandparents who each separately tell her that they will help her with her savings plans.
- Granny Ava says, ‘Whatever you have when you come to me, I will add \$10.’
- Granny Beth says, ‘Whatever you have when you come to me, I will double it.’
- Grampa Charles says, ‘Whatever you have when you come to me, I will halve your savings but then add \$50.’
- Grampa Dave says, ‘Whatever you have when you come to me, I will double it and add \$5.’
Jane has saved \$10 by herself. She plans to visit each grandparent once, in the order that maximises the amount she has at the end. In dollars, what is this maximum amount?
- Granny Ava says, ‘Whatever you have when you come to me, I will add \$10.’
- Granny Beth says, ‘Whatever you have when you come to me, I will double it.’
- Grampa Charles says, ‘Whatever you have when you come to me, I will halve your savings but then add \$50.’
- Grampa Dave says, ‘Whatever you have when you come to me, I will double it and add \$5.’
Jane has saved \$10 by herself. She plans to visit each grandparent once, in the order that maximises the amount she has at the end. In dollars, what is this maximum amount?