The school store is running a promotion on school supplies. different supplies are placed on two shelves. you can purchese 3 items from shelf a and 2 items from shelf b for $16. or you can purchase 2 items for shelf a and 3 from be for $14. how much more does one item on shelf a cost than an item on b? show work and explain.

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

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to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.