25 students
194 balloons
194/25 = 7.76
Each student gets 7 balloons, 7 x 25 = 175 balloons will be used
194 - 175 = 19 balloons remaining (Answer to part 1 of this question)
If each student needs 8 balloons
8 * 25 = 200
200 - 194 = 6 ballons needed (Answer to part 2 of this question)
We also could have found the answer to part 2 by saying that we had 19 balloons left over when the students each were given 7 balloons
Each student needs another 1 balloon = 25 balloons,
We have 19 left over
25 - 19 = 6 balloons need to be purchased (we got the same answer both ways so it is very likely we have the correct answer)
2x^3-2x^2+3x^2-3x-6x+6
2x^3+x^2-9x+6
Answer:
glasses of milk=4
quatar pounds servings of meat =5
two slices of whole grains bread =8
Step-by-step explanation:
Let m= milk
r=meat
b=bread
0.1m+3.4r+2.2b=35 (1)
8.5m+22r+10b=224 (2)
m+20r+12b=200 (3)
Multiply (1) by 85 and (2) by 1
8.5m+289r+187b=2,975 (4)
8.5m+22r+10b=224 (5)
Subtract (5) from (4)
267r+177b=2,751 (6)
Recall,
8.5m+22r+10b=224 (2)
m+20r+12b=200 (3)
Multiply (2) by 1 and (3) by 8.5
8.5m+22r+10b=224 (7)
8.5m+170r+102b=1700 (8)
Subtract (7) from (8)
148r+92b=1,476 (9)
Recall,
267r+177b=2,751 (6) and
148r+92b=1,476 (9)
Multiply (6) by 148 and (9) by 267
26196b=407,148 (10)
24564b=394,092 (11)
Subtract (11) from (10)
1,632b=13,056
Divide both sides by 1,632
b=13,056/1,632
b=8
Substitute the value of b in (9)
148r+92b=1,476 (9)
148r+92(8)=1,476
148r+736=1,476
148r=1,476-736
148r=740
Divide both sides by 148
r=740/148
r= 5
Substitute the value of b and r in (1)
0.1m+3.4r+2.2b=35 (1)
0.1m+3.4(5)+2.2(8)=35
0.1m+17+17.6=35
0.1m+34.6=35
0.1m=35-34.6
0.1m=0.4
Divide both sides by 0.1
m=0.4/0.1
m=4
4 glasses of milk, 5 quatar pounds servings of meat and 8 two slices of whole grains bread will supply the required nutrients.
Answer:
2664
Step-by-step explanation:
9.25×36+(380÷20)×8