Find the value of the variable in each proportion.
a) 3:5 = g:65
b) h:8 = 56:64
c) 16:m = 20:35
d) 36:8 = 81:f
get 1 on the same side as your unknown variable by multiplying or dividing both sides
eg:
3 / 5 = g / 65
multiply both sides by 65
3 * 65 / 5 = g * 65 /65 = g
3 *13 = g
you have to add
To find the value of the variable in each proportion, we can use the concept of cross-multiplication.
a) In the proportion 3:5 = g:65, we can cross-multiply by multiplying the extremes (3 and 65) and the means (5 and g) to get 3 * 65 = 5 * g. Simplifying this equation, we have 195 = 5g. Now, to find the value of g, we divide both sides of the equation by 5: g = 39.
b) For the proportion h:8 = 56:64, we cross-multiply by multiplying the extremes (h and 64) and the means (8 and 56) to get h * 64 = 8 * 56. Simplifying this equation, we have 64h = 448. To find the value of h, we divide both sides of the equation by 64: h = 7.
c) In the proportion 16:m = 20:35, we cross-multiply by multiplying the extremes (16 and 35) and the means (m and 20) to get 16 * 35 = m * 20. Simplifying this equation, we have 560 = 20m. Dividing both sides of the equation by 20, we get m = 28.
d) Finally, for the proportion 36:8 = 81:f, we cross-multiply by multiplying the extremes (36 and f) and the means (8 and 81) to get 36 * f = 8 * 81. Simplifying this equation, we have 36f = 648. To find the value of f, we divide both sides of the equation by 36: f = 18.
Therefore, the values of the variables in each proportion are:
a) g = 39
b) h = 7
c) m = 28
d) f = 18.
For the first one
3:5=g:65
3/5=g/65
3×65=5g
g=195/5
g=39
Follow the same procedure for the rest