Brenda bought a number of gift bags in a store where a 5 percent sales tax is added to every purchase. If she did not have to pay tax, she could have bought four more gift bags for the same amount of money. How many gift bags did she buy?
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.
Brenda bought a number of gift bags in a store where a 5 percent sales tax is added to every purchase. If she did not have to pay tax, she could have bought four more gift bags for the same amount of money. How many gift bags did she buy?
Let the number of bags bought be n and the price of each bag be p
So, the cost for n bags is given by np
Given, 5 percent sales tax is added to every purchase.
5% of np is given by:
Given four bags can be bought for the same amount of money. So the cost for 4 bags i.e. 4p is same as the amount of sales tax.
Hence, 4p = 0.05np
Simplifying:
Therefore, Brenda bought 80 gift bags.
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