Fiona's follies is a small bakery that sells cupcakes and muffins. a cupcake sells for $3 and a muffin sells for $2. when all related business expenses are included, a cupcake costs $0.75 to prepare and a muffin costs $0.50 to prepare. last monday, fiona's follies sold at least $300 worth of cupcakes and muffins and its expenses were no more than $100. at most 80 cupcakes were sold. let x be the number of cupcakes sold last monday and y be the number of muffins sold last monday. which ordered pairs representing a combination of cupcakes and muffins could have been sold last monday and make sense in the context of the situation? select each correct answer. (80,80) (79,42.5) (40,80) (60,70) (32.5,140)

(80,80), (79,42.5) , (60,70) and (32.5, 140)

Step-by-step explanation:

x: the number of cupcakes sold

y: number of muffins sold

Revenue: 3x + 2y

Expenses: 0.75x + 0.5y

Last Monday, the situation was:

3x + 2y ≥ 300

0.75x + 0.5y ≤ 100

x ≤ 80

Replacing (80,80) into the equations we get:

3(80) + 2(80) = 400 ≥ 300

0.75(80) + 0.5(80) = 100 ≤ 100

80 ≤ 80

which satisfies all equations.

Replacing (79,42.5) into the equations we get:

3(79) + 2(42.5) = 322 ≥ 300

0.75(79) + 0.5(42.5) = 80.5 ≤ 100

79 ≤ 80

which satisfies all equations.

Replacing (40,80) into the equations we get:

3(40) + 2(80) = 280

0.75(40) + 0.5(80) = 70 ≤ 100

40 ≤ 80

which doesn't satisfy first equation

Replacing (60,70) into the equations we get:

3(60) + 2(70) = 320 ≥ 300

0.75(60) + 0.5(70) = 80 ≤ 100

60 ≤ 80

which satisfies all equations.

Replacing (32.5, 140) into the equations we get:

3(32.5) + 2(140) = 377.5 ≥ 300

0.75(32.5) + 0.5(140) = 94.37500 ≤ 100

32.5 ≤ 80

which satisfies all equations.

step-by-step explanation:

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3