Calvin has been trusted to manage the school candy store, but he is taking advantage of the situation. For every seven pieces of candy that a student buys, Calvin helps himself to three pieces of candy. If Marty buys 42 pieces of candy, how many will Calvin take for himself? Show your work or explain your reasoning.

Step-by-step explanation:

Calvin takes 3 pieces of candy for each 7 pieces sold.

If 42 pieces sold, Calvin takes x pieces.

Use ratios to find the value of x:

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:

.

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