The sum of two numbers is 21. The smaller number is three more than half the larger number. What are the two numbers

y = 12

x = 9

Step-by-step explanation:

y=larger number

(y/2 + 3) + y = 21

Step 1: Simplify both sides of the equation.

y /2  +3+y=21

1 /2 y+3+y=21

( 1 /2 y+y)+(3)=21 (Combine Like Terms)

3 /2 y+3=21

3 /2 y+3=21

Step 2: Subtract 3 from both sides.

3 /2 y+3−3=21−3

3 /2 y=18

Step 3: Multiply both sides by 2/3.

( 2 /3 )*( 3 /2 y)=( 2 /3 )*(18)

y=12

step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950