Aicel, Bessy, Cynthia went to the farm to pick guavas. They picked 120 guavas in all. Aicel picked twice as many as Bessy did and bessy picked 3 times as many as Cynthia did. How many guavas did each of them have?

Cynthia = 12 guavas

Bessy = 36 guavas

Aicel = 72 guavas

Step-by-step explanation:

Total guavas = 120

Let

Cynthia = x

Bessy = 3x

Aicel = 2(3x)

= 6x

x + 3x + 6x = 120

10x = 120

x = 120/10

x = 12

Cynthia = x

= 12 guavas

Bessy = 3x

= 3(12)

= 36 guavas

Aicel = 6x

= 6 × 12

= 72 guavas

Total = 74 + 36 + 12

= 120 guavas

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

u = -(6/7)w

step-by-step explanation:

place all values with 'u' on one side of the equation.

4u + 8w = - 3u + 2w

4u + 3u = 2w - 8w

further simplify the equation by solving the addition and subtraction.

7u = - 6w

make 'u' the independent variable by placing its co-efficient on the right-hand side.

u = - (6/7)w