Wang Hao wants to spend at most

Question

\[\$15\] 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.

Answer 1

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.