Monique is eating broccoli and collard greens to increase her calcium intake. One week, she eats 2 servings of broccoli and 3 servings of collard greens, totaling 938 mg of calcium. The next week she eats 4 servings of broccoli and 1 serving of collard greens, totaling 546 mg of calcium. Which system of equations can be solved to find the milligrams of calcium in broccoli, x, and the milligrams of calcium in collard greens, y

Question

23-10-2020
Mathematics

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Monique is eating broccoli and collard greens to increase her calcium intake. One week, she eats 2 servings of broccoli and 3 servings of collard greens, totaling 938 mg of calcium. The next week she eats 4 servings of broccoli and 1 serving of collard greens, totaling 546 mg of calcium. Which system of equations can be solved to find the milligrams of calcium in broccoli, x, and the milligrams of calcium in collard greens, y

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Ritz01 Ritz01 · Answer 1 · 2020-10-25T11:18:16+01:00

Answer:

2x+3y=938 and 4x+y=546

Step-by-step explanation:

In one serving, there are x milligrams of calcium in broccoli and y milligrams of calcium in collard.

In the first week, Monique eats 2 servings of broccoli and 3 servings of collard greens, totaling 938 mg of calcium.

So, 2x+3y=938

In the second week, she eats 4 servings of broccoli and 1 servings of collard greens, totaling 546 mg of calcium.

So, 4x+y=546.

Hence, these two equations, 2x+3y=938 and 4x+y=546, can be solved to find the milligrams of calcium in broccoli, x, and the milligrams of calcium in collard greens, y.