Hannah went to the school store to buy supplies and spent $16. She bought four more pencils than pens and two fewer erasers than pens. Pens cost $1.25 each, pencils cost $0.55 each, and erasers cost $0.75 each. If x represents the number of pens Hannah bought, write an equation in terms of x that can be used to find how many of each item she bought. Use your equation to determine algebraically how many pens Hannah bought.

The algebaraic equation required is :

2.55x + 0.7 = 16

The number of pens Hannah bought is 6

If :

x = number of pens

4 more pencils Than pens ; Number of pencils = x + 4

2 fewer erasers than pens ; number of erasers = x - 2

Total amount spent = $16

The total number of items bought is :

(x) + (x + 4) + (x - 2)

Multiplying by the cost of each :

1.25x + 0.55(x+4) + 0.75(x-2)

Hence, Total amount spent can be represented as :

1.25x + 0.55(x+4) + 0.75(x-2) = 16

1.25x + 0.55x + 2.2 + 0.75x - 1.50 = 16

2.55x + 0.7 = 16

The algebraic equation is : 2.55x + 0.7 = 16

The number of pens Hannah bought can be calculated thus :

2.55x + 0.7 = 16

2.55x = 16 - 0.7

2.55x = 15.30

x = 15.30 / 2.55

x = 6

Learn more :

you cant answer this dummy

step-by-step explanation:

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15