homework help please

Question

Tomatoes in Tokyo, Japan cost 738 Yen per kilogram. Tomatoes in Cincinnati cost $1.49 per pound. In which city are tomatoes the better buy? 

Useful conversion factors:

1 US Dollar = 109.5 Japan Yen

1 kilogram = 2.2 pound 

There is more than one correct way to approach this problem, but WebAssign can only handle one, so prompts are provided here to guide your answer. The real quiz will not have similar prompts. Be prepared with an appropriate strategy for solving such a "better buy" without hints. 

Round your answer to the nearest cent.

Tomatoes in Tokyo cost ? dollars per pound

$3.02 is not being accepting as correct

Answer 1

Since we are asked to determine the 'best buy', we need to either convert the Tokyo price and quantity into US units of measure, or convert the US price and quantity info into Japanese units of measure, to compare 'apples to apples' and answer the question.

Although you can choose which measurement to convert first, in this problem I will convert the Japanese Yen and kg into the U.S. dollar and pound: we're given the conversion factors, so to convert kgs to pounds:

[(738yen/kg)* 2.2]=1623.6yen/2.2 kg,

Since we know 2.2 kg is the same as 1 pounds, so we know cost of 1 lb. of tomatoes is 1623.6yen.

Now we need to convert the 1623.6Yen into US dollars: we know that 1US dollar=109.5 Yen, so to calculate how many US dollars=1623.6Yen simply solve the following equation:

1 dollar = x dollars

109.5 Yen 1323.6 Yen. (cross multiple & divide) yields:

1*1323.6=x*109.5

1323.6 = x, so x=12.0876, to the nearest cent: x=12.09

109.5

We're not done yet...Now we need to answer the question:Which is the better buy?

To do this compare the cost of 1 pound of tomatoes: in the US it's 1.49/lb. and in Tokyo it's 12.09/lb.

Answer: Based on these calculations, it appears that tomatoes in the US are a 'better buy' compared to the costs of tomatoes in Tokyo.

Answer 2

738 yen 1 kg 1 dollar

---------- * ------------- * -------------- = $3.06 per pound

kg 2.2 lb 109.5 Yen

Cincinnati