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vodomira [7]
3 years ago
7

А (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana c

ake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked? ​

Mathematics
1 answer:
ruslelena [56]3 years ago
8 0

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

        450÷45=10 chocolate cakes baked.

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To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 45.5 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 45.5 is 100%, so we can write it down as 45.5=100%.

4. We know, that x is 6.81% of the output value, so we can write it down as x=6.81%.

5. Now we have two simple equations:

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where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

45.5/x=100%/6.81%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.


7. Solution for what is 6.81% of 45.5


45.5/x=100/6.81

(45.5/x)*x=(100/6.81)*x       - we multiply both sides of the equation by x

45.5=14.684287812041*x       - we divide both sides of the equation by (14.684287812041) to get x

45.5/14.684287812041=x

3.09855=x

x=3.09855

now we have:

6.81% of 45.5=3.09855

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