Tim and jane both work for a company that sells boxes of breakfast cereal the boxes of cereal cost 3 pounds and the amount of cereal in each box weighs 160g the company wants to have a special offer here is Tim's idea for the special offer: PUT 25% MORE CEREAL IN EACH BOX AND DO NOT LOWER THE PRICE here is Jane's idea: REDUCE THE PRICE AND DO NOT CHANGE THE AMOUNT OF CREAL IN EACH BOX Jane wants her idea to give the same value of money as Tim's idea by what percentage does she need to reduce the price?

To give the same value of money as Tim's idea, she need to reduce the price by 20%.

Given that:

Cost of one box of breakfast cereal is 3 pounds.

Weight of 1 box of cereal is 160g.

Tim's idea is to put 25% more cereal.

Let Jane's idea is to reduce price by x pounds such that the value of the item is same as that after applying Tim's idea.

Value in case of Tim's idea:

Value in case of Jane's idea:

Since values have to stay same, thus we have:

To calculate percentage, we can do as follows:

Thus,  to give the same value of money as Tim's idea, she need to reduce the price by 20%.

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In order to give the same value for money as Tim's idea, Jane has to reduce the price by 25%

Step-by-step explanation:

The given  parameters are;

Cost of each box of breakfast cereal = 3 pounds

Amount of cereal in each box of breakfast cereal = 160 g

160 g of cereal = 100%

25% of one box of cereal = 25% of 160 g = (25/100)×160 g= 40 g

Given that Jane wants her idea to give the same value of money as Tim's idea, we have;

160 g of cereal costs 3 pounds

1 g of cereal will cost 3/160 pounds

40 g of cereal will cost 40*3/160 = 3/4 pounds

Therefore, the percentage 3/4 pound is of 3 pounds =

Which gives, Jane has to reduce the price by 25% to give the same value for money as Tim's idea.

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answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,