1.Samuel buys three shirts at a department store. The three shirts all have the
ID: 3118993 • Letter: 1
Question
1.Samuel buys three shirts at a department store. The three shirts all have the same marked price, but Samuel has a coupon that gives him 20% off the price of one shirt only. If Samuel pays a total of $79.80 for the three shirts, what is the marked price of each shirt?
2.Lana is investigating patterns that occur when she squares positive integers ending with the digit 5.
She writes down the following computations:
25^2 = 625 35^2 = 1225 45^2 = 2025 55^2 = 3025
She notices that when she squares a two-digit positive integer whose units digit is 5, the result ends in
the digits 25, and the digits 25 are preceded by the product of two consecutive integers. Use algebra to
explain why this occurs.
Explanation / Answer
1. Let the marked price on a shirt be x.
And he got 20% discount on a shirt.
So according to question,
Total price = 2*(Marked price of a shirt) + Price of a shirt after 20% discount
79.8 = 2x + x - 0.2 x = 2.8x
=> x = 79.8/2.8 = 28.5
Marked price of a shirt is $28.5
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