1) helen is 8 years older than jane. twenty years ago helen was three times as old as jane. how old is each now and what is the equation?

2) a bank teller has some five-dollar bills and some twenty-dollar bills. the teller has 4 more of the twenties. the total value of the money is $305.00. find the number of twenty-dollar bills. what is the equation?

Part 1) Helen's age is 32 years old and Jane's age is 24 years old

Part 2) 13 twenty-dollar bills

Step-by-step explanation:

Part 1) Helen is 8 years older than Jane. Twenty years ago Helen was three times as old as Jane. How old is each now and what is the equation?

Let

x> Helen's age

y---> Jane's age

we know that

x=y+8 > equation A

(x-20)=3(y-20) > equation B

substitute equation A in equation B and solve for y

(y+8-20)=3(y-20)

y-12=3y-60

3y-y=60-12

2y=48

y=24 years

Find the value of x

x=y+8

x=24+8=32 years

Part 2)

Let

x> the number of five-dollar bills

y> the number of twenty-dollar bills

we know that

5x+20y=305 > equation A

y=x+4 > x=y-4 > equation B

substitute equation B in equation A and solve for y

5(y-4)+20y=305

5y-20+20y=305

25y=325

y=13 twenty-dollar bills

Find the value of x

x=y-4

x=13-4=9  five-dollar bills

1. sometimes

2. never true

3. sometimes

step-by-step explanation:

these are pretty self explanatory if you know what supp right and com angles are