Sarah and Henry share some sweets in the ratio 5:6.
Sarah eats 16 of her sweets and the ratio of sweets left becomes 1:2.
How many sweets did Henry have?

48 sweets

Step-by-step explanation:

Sarah to Henry ratio is 5 is to 6, we can say:

Sarah has 5x sweets

Henry has 6x sweets

After Sarah eats "16", the ratio is 1:2, so we can write:

Let us solve this equation for "x":

Henry had "6x" sweets, so Henry had:

6*8 = 48 sweets

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls