Sarah and Henry share some sweets in the ratio 7:6. Sarah eats 12 of her sweets and the ratio of sweets left becomes 1:2,
How many sweets did Henry have?

ratio is 7:6, but we don't know exactly how many each had

call the ratio 7x:6x

(7x-20) is how many sweets Sarah has now

6x is how many sweets Henry has now

the ratio is now 1:2

(7x-20)/6x=1/2

cross multiply

2(7x-20)=1*6x

14x-40=6x

14x-6x=40

8x=40

x=40/8=5

5*6=30 sweets is how many Henry had (Sarah has 5*7-20=35-20=15 sweets now and 15/30=1/2)

Step-by-step explanation:

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)