66.9k views
2 votes
At the beginning of january 2002, the price of ground beef was $1.70 per pound and the price of tuna fish was $2.20 per pound. for the following 15 months, the price of ground beef increased at the rate of \$0.03$0.03dollar sign, 0, point, 03 per month and the price of tuna fish decreased at \$0.02$0.02dollar sign, 0, point, 02 per month. in approximately how many months after the beginning of january 200220022002 was the price of ground beef and tuna fish the same, and what was the price?

2 Answers

4 votes

Final answer:

In approximately 10 months after the beginning of January 2002, the price of ground beef and tuna fish were the same, and the price was $2.00 per pound.

Step-by-step explanation:

To find the number of months after the beginning of January 2002 when the price of ground beef and tuna fish were the same, we need to determine when their prices are equal. The price of ground beef increases by $0.03 per month, while the price of tuna fish decreases by $0.02 per month. We can set up the following equation to represent their prices:

Price of ground beef = Price of tuna fish

$1.70 + $0.03x = $2.20 - $0.02x

Simplifying the equation, we get:

$0.03x + $0.02x = $2.20 - $1.70

$0.05x = $0.50

x = $0.50 / $0.05

x = 10

Therefore, in approximately 10 months after the beginning of January 2002, the price of ground beef and tuna fish were the same, and the price was $1.70 + $0.03(10) = $2.00 per pound.

4 votes

yes..............................................................

User Curtisk
by
8.5k points