4. A cake decorator can decorate 6 cakes in 1.5 hours. At this rate, how many cakes could he decorate
during his 8-hour workday?

30.

Step-by-step explanation:

The cake decorator could make 30 cakes in 7.5 hours. Seeing as there is only 8 hours in a workday he could make 30. You could also say 30.5 cakes but thats only half a cake decorated.

Hope this helps!

33

Step-by-step explanation:

1.5*5=7.5

8-7.5=.5

.5=1/2

1/2 of 6=3

6*5=30

30+3=33

Hope this helped!

Work Shown:

d = number of dimes

q = 32-d = number of quarters

$5.15 = 515 cents

10d+25q = 515

10d+25(32-d) = 515

10d+800-25d = 515

-15d+800 = 515

-15d = 515-800

-15d = -285

d = -285/(-15)

d = 19

There are 19 dimes. You can stop here if you want.

q = 32-d = 32-19 = 13

There are 13 quarters

Check:

1 dime = 10 cents

19 dimes = 19*10 = 190 cents

1 quarter = 25 cents

13 quarters = 13*25 = 325 cents

total value = 190 cents + 325 cents = 515 cents = $5.15

The answer is confirmed.