Question
Wang Hao wants to spend at most
\[\$15\] on dairy products. Each liter of goat milk costs
\[\$2.40\], and each liter of cow's milk costs
\[\$1.20\].
Write an inequality that represents the number of liters of goat milk
\[(G)\] and cow's milk
\[(C)\] Wang Hao can buy on his budget.
\[\$15\] on dairy products. Each liter of goat milk costs
\[\$2.40\], and each liter of cow's milk costs
\[\$1.20\].
Write an inequality that represents the number of liters of goat milk
\[(G)\] and cow's milk
\[(C)\] Wang Hao can buy on his budget.
Answers
GPT-4o mini
To represent Wang Hao's budget for dairy products in terms of goat milk (G) and cow's milk (C), we can set up the following inequality.
The cost for goat milk is \$2.40 per liter, so if Wang Hao buys \(G\) liters of goat milk, the total cost for goat milk will be \(2.40G\).
The cost for cow's milk is \$1.20 per liter, so if he buys \(C\) liters of cow's milk, the total cost for cow's milk will be \(1.20C\).
Wang Hao wants to spend at most \$15, which means the total cost of both types of milk combined must be less than or equal to \$15. Therefore, we can write the inequality as:
\[
2.40G + 1.20C \leq 15
\]
This inequality represents the number of liters of goat milk \(G\) and cow's milk \(C\) Wang Hao can buy without exceeding his budget of \$15.
The cost for goat milk is \$2.40 per liter, so if Wang Hao buys \(G\) liters of goat milk, the total cost for goat milk will be \(2.40G\).
The cost for cow's milk is \$1.20 per liter, so if he buys \(C\) liters of cow's milk, the total cost for cow's milk will be \(1.20C\).
Wang Hao wants to spend at most \$15, which means the total cost of both types of milk combined must be less than or equal to \$15. Therefore, we can write the inequality as:
\[
2.40G + 1.20C \leq 15
\]
This inequality represents the number of liters of goat milk \(G\) and cow's milk \(C\) Wang Hao can buy without exceeding his budget of \$15.