Solve the problem by using a system of equations.
-South Wind Vineyards uses 830 acres to plant Chardonnay and Riesling grapes. The vintner knows the profits will be greatest by planting 180 more acres of Chardonnay than Riesling. How many acres of each grape should be planted?
A) Riesling: 408 acres; Chardonnay: 422 acres
B) Riesling: 325 acres; Chardonnay: 505 acres
C) Riesling: 242 acres; Chardonnay: 588 acres
D) Riesling: 505 acres; Chardonnay: 325 acres

Question

Quizplus · Accepted Answer

Let R be the acres of Riesling and C be the acres of Chardonnay. The system of equations is: R + C = 830 (total acres) and C = R + 180 (180 more acres of Chardonnay than Riesling). Solving these equations gives R = 325 acres and C = 505 acres.

Solve the Problem by Using a System of Equations