Josh wanted to buy a bike but didn't have enough money. Sam Slick said, "I can fix that. Each time you jump that fence, I'll triple your money. There's one small thing though. Each time I pay you, you must give me $27 back for the privilege of jumping." Josh agreed, jumped the fence, received his payment from Sam Slick, and paid Sam $27. Repeating the routine 1 more time, Josh was distressed to find that after Sam had made his payment to Josh, Josh had only $27 with which to pay Sam and so had nothing left. Sam, of course, went merrily on his way, leaving Josh wishing that he had known a little more about mathematics. (a) How much money did Josh have before he made his deal with Sam? (b) Suppose the problem is the same, but this time Josh jumps the fence 3 times before running out of money. How much money did Josh start with this time?
Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.
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