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Math Help - systems of equations

  1. #1
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    Post systems of equations

    the systems methods is needed to solve these word problems:

    1. Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm.

    2. On Friday, the With-IT Clothiers sold some jeans at $25 a pair and some shirts at $18 each. Receipts for the day totaled $441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day?

    3. A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?

    im just completely lost when it comes to word problems. thank you! (:
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  2. #2
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    Quote Originally Posted by jilly17 View Post
    the systems methods is needed to solve these word problems:

    1. Two isosceles triangles have the same base length. The legs of one of the triangles are twice as long as the legs of the other. Find the lengths of the sides of the triangles if their perimeters are 23 cm and 41 cm.

    Perimeter of 1st isosceles triangle with base B and legs L:

    B+L+L=23
    B+2L=23

    Perimeter of 2nd isosceles triangle with base B and legs 2L:

    B+2L+2L=41
    B+4L=41


    Quote Originally Posted by jilly17 View Post
    2. On Friday, the With-IT Clothiers sold some jeans at $25 a pair and some shirts at $18 each. Receipts for the day totaled $441. On Saturday the store priced both items at $20, sold exactly the same number of each item, and had receipts of $420. How many pairs of jeans and how many shirts were sold each day?

    Friday's take: 25j+18s=441

    Saturday's take: 20j+20s=420


    Quote Originally Posted by jilly17 View Post
    3. A grain-storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?

    Total number of bins: B_1 + B_2 = 30

    Capacity of bins: 20B_1 + 15B_2=510


    Quote Originally Posted by jilly17 View Post
    im just completely lost when it comes to word problems. thank you! (:
    Are you lost when it comes to solving a system of linear equations?
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  3. #3
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    I was able to do number 1 and number 3, but the second one has me stumped /:
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