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    Angad was thinking of a number. Angad adds 20 to it, then doubles it and gets an answer of 53. What

    Angad was thinking of a number. Angad adds 20 to it, then doubles it and gets an answer of 53. What was the original number? The phrase a number means an arbitrary variable, let's call it n. Start with n Add 20 to it: n + 20 Double it means we multiply the expression by 2: 2(n + 20) Get an...
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    I am thinking of a number. I multiply it by 7 and add 25. I get the same answer if I multiply by 3 a

    I am thinking of a number. I multiply it by 7 and add 25. I get the same answer if I multiply by 3 and add 93. What is my number? Let the number be n. We're given two expressions: Multiply the number by 7: 7n add 25: 7n + 25. <-- Expression 1 Multiply by 3: 3n Add 93: 3n + 93 <-- Expression 2...
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    If I add 8 to the number and then multiply the result by 6 I get the same answer as when I add 58 to

    If I add 8 to the number and then multiply the result by 6 I get the same answer as when I add 58 to a number. Form an equation Let the number be n. We're given: 6(n + 8) = n + 58 Multiply through: 6n + 48 = n + 58 To solve this equation for n, we type it into our search engine and we get: n = 2
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    Super Snack, a convenience store, charges $4.35 for a large chicken sandwich and two large colas. Fo

    Super Snack, a convenience store, charges $4.35 for a large chicken sandwich and two large colas. For a large chicken sandwich and a large cola, they charge $4.00. How much are the Super Snack large chicken sandwiches? The difference between the orders is $0.35 and 1 large cola. Therefore, 1...
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    2 numbers add to 200. The first is 20 less than the second.

    2 numbers add to 200. The first is 20 less than the second. Let the first number be x and the second number be y. We're given: x + y = 200 x = y - 20 Plug (2) into (1) (y - 20) + y = 200 Group like terms: 2y - 20 = 200 Typing this equation into our search engine, we get: y = 110 <-- This...
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    An irregular pentagon is a five sided figure. The two longest sides of a pentagon are each three tim

    An irregular pentagon is a five sided figure. The two longest sides of a pentagon are each three times as long as the shortest side. The remaining two sides are each 8m longer than the shortest side. The perimeter of the Pentagon is 79m. Find the length of each side of the Pentagon. Let long...
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    Maria bought 7 boxes. A week later half of all her boxes were destroyed in a fire. There are now onl

    Maria bought 7 boxes. A week later half of all her boxes were destroyed in a fire. There are now only 22 boxes left. With how many did she start? Let x be the starting box number. We have: (x + 7)/2 = 22 Cross multiply x + 7 = 44 Subtract 7 from each side x = 37
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