Question

A baker can decorate 5 cakes in 3 hours. How many cakes can he decorate in 4 days if he works 9 hours each day?
20
60
180
540
none

Answer 1

First, we need to find out how many cakes the baker can decorate in one hour.

If the baker can decorate 5 cakes in 3 hours, then in one hour, he can decorate:

\[
\frac{5 \text{ cakes}}{3 \text{ hours}} = \frac{5}{3} \text{ cakes per hour} \approx 1.67 \text{ cakes per hour}
\]

Next, we need to determine how many hours the baker will work in 4 days. Since he works 9 hours each day:

\[
4 \text{ days} \times 9 \text{ hours/day} = 36 \text{ hours}
\]

Now we can find out how many cakes he can decorate in 36 hours:

\[
\frac{5}{3} \text{ cakes/hour} \times 36 \text{ hours} = \frac{5 \times 36}{3} = \frac{180}{3} = 60 \text{ cakes}
\]

Thus, the baker can decorate **60 cakes** in 4 days working 9 hours each day.

The answer is **60**.