Bill was counting the new state quarters that he had been collecting, although he knew that he had fewer than 70. He started organizing them into piles. He put all of the quarters into piles of three but found that there were two left over. Then he put them into piles of five and found that there were three leftover. Suddenly his mom came into the room and, knowing about his collection, handed him a shiny new Hawaii quarter, which he’d never seen before! He gleefully added it to his collection, and then tried putting them all into piles of seven. This time he found that there were five leftover. How many quarters were in his collection at that point?
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.
Bill was counting the new state quarters that he had been collecting, although he knew that he had fewer than 70. He started organizing them into piles. He put all of the quarters into piles of three but found that there were two left over. Then he put them into piles of five and found that there were three leftover. Suddenly his mom came into the room and, knowing about his collection, handed him a shiny new Hawaii quarter, which he’d never seen before! He gleefully added it to his collection, and then tried putting them all into piles of seven. This time he found that there were five leftover. How many quarters were in his collection at that point?
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