2.5 pounds of grain cost ======= $1.75
∴ 5.3 pounds of grain will cost ===== (5.3×1.75)/2.5 = $3.71
Answer:
7 pencils
8 sweet tarts
Step-by-step explanation:
7*0.35=2.45
8*0.10=0.80
2.45+0.80=3.25
7+8=15
Answer:
Brownies made the most money
Step-by-step explanation:
Let c = cookies
b = brownies
We sold 51 items so c+b = 51
Cookies are .75 and brownies are 1.25
.75c + 1.25 b = 53.25
We have 2 equations and 2 unknowns
c = 51-b
Substituting into the second equation
.75(51-b) + 1.25b = 53.25
Distribute
38.25-.75b +1.25b = 53.25
Combine like terms
38.25+.5b = 53.25
Subtract 38.25 from each side
38.25 +.5b -38.25 = 53.25 -38.25
.5b =15
Divide each side by .5
.5b/.5 = 15/.5
b = 30
Now find c
c =51-b
c = 51-30
c = 21
They sold 30 brownies and 21 cookies
30 brownies * 1.25 =37.50
21 cookies *.75 = 15.75
Brownies made the most money
84.15-1.8*8
Order of Operations says to add and subtract before you multiply, so simplify the expression to: 82.35*8, which is 658.8
Let the number of type A surfboards to be ordered be x and the number of type B surfboards be y, then we have
Minimize: C = 272x + 136y
subject to: 29x + 17y ≥ 1210
x + y ≤ 50
x, y ≥ 1
From the graph of the constraints, we have that the corner points are:
(20, 30), (41.138, 1) and (49, 1)
Applying the corner poits to the objective function, we have
For (20, 30): C = 272(20) + 136(30) = 5440 + 4080 = $9,520
For (41.138, 1): C = 272(41.138) + 136 = 11189.54 + 136 = $11,325.54
For (49, 1): C = 272(49) + 136 = 13328 + 136 = $13,464
Therefore, for minimum cost, 20 type A surfboards and 30 type B surfboards should be ordered.
