Question

6x+5y=300 and 3x+7y=285 if x os the cost of the snack gift and y is the cost of the chocolate gift basket what is the cost of the gift basket

Explanation:

Step1: Eliminate x variable

Multiply the second equation by 2:
$$2\times(3x+7y)=2\times285$$
$$6x+14y=570$$

Step2: Subtract first equation

Subtract $6x+5y=300$ from the new equation:
$$(6x+14y)-(6x+5y)=570-300$$
$$9y=270$$

Step3: Solve for y

Divide both sides by 9:
$$y=\frac{270}{9}=30$$

Step4: Verify with x (optional)

Substitute y=30 into $3x+7y=285$:
$$3x+7\times30=285$$
$$3x=285-210=75$$
$$x=25$$

Answer:

The cost of the chocolate gift basket (y) is 30, and the cost of the snack gift (x) is 25.