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you go grocery shopping and spend a total of $40. you purchase 4 boxes of cookies and 4 bags of chips. your
friend also goes grocery shopping and purchases 3 boxes of cookies and 5 bags of chips for a total of $40.
how much did each package of cookies and each bag of chips cost?

a package of cookies cost $ 5 and each bag of chips cost $5

Step-by-step explanation:

Let x represent the cost of a package of  cookies and y represent the cost of a bap of chips ,then from the first statement :

4x + 4y = 40

dividing through by 4 , we have

x + y = 10 equation 1

From the second statement

3x + 5y = 40   equation 2

Solving the system of linear equation by substitution method , from equation 1 , make x the subject of the formula , that is

x = 10 - y equation 3

substitute x = 10 - y into equation 2 , we have :

3 (10 - y ) + 5y = 40

30 - 3y + 5y = 40

30 + 2y = 40

subtract 30 from both sides

2y = 40 -30

2y = 10

y = 5

substitute y = 5 into equation 3 , equation 3 becomes

x = 10 - 5

x = 5

Therefore ; a package of cookies cost $ 5 and each bag of chips cost $5

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step-by-step explanation:

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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.