Question

Subtract 1.05 from a certain number. Multiply the difference by 0.8, add 2.84 to the product then divide the sum by 0.01 and get 700. What is the number?

Answer 1

The number is 6.25.

We will set up an equation for this.  Let x be the unknown number.  Subtracting 1.05 from it gives us

(x-1.05)

Multiplying the difference by 0.8 would give us

0.8(x-1.05)

Adding 2.84 to the product would give us

0.8(x-1.05)+2.84

Dividing the sum by 0.01 would give us

[0.8(x-1.05)+2.84]/0.01 = 700

We will start working backward, cancelling the division by 0.01 first by multiplying:

([0.8(x-1.05)+2.84]/0.01)*0.01 = 700*0.01

0.8(x-1.05)+2.84 =7

Subtract 2.84 from both sides:
0.8(x-1.05)+2.84-2.84 = 7-2.84
0.8(x-1.05) = 4.16

Use the distributive property on the left side:
0.8*x - 0.8*1.05 = 4.16
0.8x - 0.84 = 4.16

Add 0.84 to both sides:
0.8x - 0.84+0.84 = 4.16+0.84
0.8x = 5

Divide both sides by 0.8:
0.8x/0.8 = 5/0.8
x = 6.25

Answer 2

Answer:

6.25

Step-by-step explanation:

I go to rsm and this answer worked