Nikhil, Davina and Sid share a tin of celebrations amongst themselves in the ratio of 8:12:20 respectively. Given that Davina gets 48 sweets, calculate the total number of sweets that were in the tin.

160

Step-by-step explanation:

n : d : s

8 : 12 : 20

davina = 48 sweets

48/12 = 4

8 + 12 + 20 = 40

40 x 4 = 160 sweets total

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