A clothing store is having a sale on graphic T-shirts and plain T-shirts. There are 56 graphic T-shirts on sale. The store manager said this

Question

A clothing store is having a sale on graphic T-shirts and plain T-shirts. There are 56 graphic T-shirts on sale. The store manager said this is 70% of the total number of T-shirts on sale. What is the total number of T-shirts on sale?

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Isabelle 1 week 2021-09-15T20:57:15+00:00 1 Answer 0

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    2021-09-15T20:58:41+00:00

    To solve this you must use a proportion like so…

    \frac{part}{whole} = \frac{part}{whole}

    70 is a percent and percent’s are always taken out of the 100. This means that one proportion will have 70 as the part and 100 as the whole

    We know that there are 56 graphic T-shirts, but all the T-shirts are not graphic T-shirts. This means 56 is the part and the total number of T-shirts on sale (let’s make this x) is the whole.

    Here is your proportion:

    \frac{56}{x} =\frac{70}{100}

    Now you must cross multiply

    56*100 = 70*x

    5600 = 70x

    To isolate x divide 70 to both sides

    5600/70 = 70x/70

    80 = x

    This means that there are a total of 80 t-shirts on sale at the clothing store.

    Hope this helped!

    ~Just a girl in love with Shawn Mendes

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