Question

Please help me with 2 and 3 and use the elimination process!

Answer 1

Answer:

2. Judy =$5

Ben= $4

Step-by-step explanation:

2. Let Judy =  x  and Ben =  y

8x + 10y = 80

9x + 5y = 65

Solve these simultaneous equations.

8 x  +  10 y  =  80

18 x  +  10 y  =  130

Take the second equation away from the first equation

− 10 x  =  − 50

x  =  5

This means that Judy gets paid $5 an hour.

Therefore, Ben gets paid $4 an hour.

Answer:

3. 24 quarters and 16 dimes

Step-by-step explanation:

3. Let the number of dimes = x and the number of quarters = y

                                    Value      Value

Type        Number       of             of

of             of                EACH      ALL

coin         coins            coin        coins

-------------------------------------------

dimes         x              $0.10       $0.10x

quarters      y             $0.25      $0.25y

-------------------------------------------

TOTALS    40                            $7.60

x + y = 40

0.10x + 0.25y = 7.60

Get rid of decimals by multiplying every term by 100:

10x + 25y = 760

So we have the system of equations:

x + y = 40

10x + 25y = 760

         

We solve by substitution.  Solve the first equation for y:

x + y = 40

y = 40 - x

Substitute (40 - x) for y in 10x + 25y = 760

      10x + 25(40 - x) = 760

      10x + 1000 - 25x = 760

           -15x + 1000 = 760

                  -15x = -240

                       x = 16 = the number of dimes.

Substitute in y = 40 - x

                     y = 40 - (16)

                     y = 24 quarters.

$1.60 + $6.00 = $7.60

I hope that helped, sorry for taking so long :-)