Question

Roast beef has 25g of protein and 11g of calcium per serving. A serving of mashed potatoes has 2g of protein and 25g of calcium. How many servings of each are needed to supply exactly 29g of protein and 61g of calcium?

Answer 1

Ok, turn it into algebraic equations:

25x + 2y = 29 ( 25 g of protein * the number of servings + 2 * number of servings = total protein)


11x + 25y = 61

Solve both equations together and you have number of servings , do you know how to solve them ?

Answer 2

what about calcium

Answer 3

i know how to do linear systems im just not sure how they should be set up

Answer 4

The second equations

Roast beef gives 11g each serving
mashed potatos gives 25g each serving

so 11 * number of roast beef servings + 25 * number of mashed potatos servings = total calcuim

Answer 5

oh so ill do two sets ? and then substitute ?

Answer 6

25x + 2y = 29
11x + 25y = 61

You could use elimination , or substitution:

Multiply first equation * -11 ( negative of second x coefficient) and second equation times 25

-275x - 22y = -319
275x +625y = 1525

603y = 1206
y = 2

11x + 50 = 61
11x = 11
x = 1

Answer 7

ohhhh okay thank you so much

Answer 8

Any time.