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 eaxactly 29 g of protein and 61g of calcium?
2006-10-25 12:06:23 · 4 answers · asked by nisha10mabry 3 in Science & Mathematics ➔ Mathematics
let x=number of servings of roast beef
let y=number of servings of mashed potatoes
25x+2y=29
11x+25y=61
Then solve for x and y. You end up with x=1 and y=2. Do you need help solving the system?
2006-10-25 12:09:34 · answer #1 · answered by Melody 3 · 0⤊ 0⤋
r=25p+11c
m=2p+25c
xr+ym=29p+61c
25x+2y=29; 2y=29-25x; y=14.5-12.5x
11x+25y=61
11x+25(14.5-12.5x)=61
11x+362.5-312.5x=61
-301.5x=-301.5
x=1 serving of roast beef
y=14.5-12.5=2 servings of mashed potato.
check
25+2*2=29g protein
11+2*25=61g Calcium.
2006-10-25 21:57:39 · answer #2 · answered by yupchagee 7 · 0⤊ 0⤋
suppose "r" the number of roast beef
and "m" the number of mashed potatoes
for the protein
29 = 25*r + 2*m
For calcium
61 = 11*r + 25*m
2006-10-25 19:13:35 · answer #3 · answered by Melia 2 · 0⤊ 0⤋
25x + 2y = 29
11x + 25y = 61
Multiply top by -25 and bottom by 2
-625x - 50y = -725
22x + 50y = 122
-603x = -603
x = 1
11x + 25y = 61
11(1) + 25y = 61
11 + 25y = 61
25y = 50
y = 2
ANS :
1 serving of roast beef
2 servings of mashed potatoes
2006-10-25 23:22:08 · answer #4 · answered by Sherman81 6 · 0⤊ 0⤋