We have 48$ to spend on soda and chips for a party. A six-pack of soda cost $6 and a bag of chips cost $4. The number of six-packs we can afford, y, is a function of the number of bags of chips we decide to buy,x. Find an equation relating x and y.
6y + 4x = 48 ... 3y + 2x = 24
To find an equation relating the number of bags of chips (x) to the number of six-packs of soda we can afford (y), we need to consider the cost of the soda and chips and the total budget.
Given that a six-pack of soda costs $6 and a bag of chips costs $4, we can express the total cost of soda and chips in terms of x and y:
Total cost of soda: 6y
Total cost of chips: 4x
Since we have a budget constraint of $48, the total cost of soda and chips should not exceed this limit. Therefore, we can write the equation:
6y + 4x ≤ 48
This equation represents the constraint that the total cost of soda and chips should not exceed $48.