Simon and Kim drink a lot of tea and water when they are at work. Each day Simon drinks one more cup of tea than cups of water.Each day Kim drinks twice as many cups of tea as cups of water.They work for 10 days during a fortnight and drink a total of 140cups of tea and 90cups of water each day, how many cups of tea each day and the same number of cups of water each day, how many cups of tea does Simon drink each day and how many cups of tea does Kim drink each day?

Question

Simon and Kim drink a lot of tea and water when they are at work. Each day Simon drinks one more cup of tea than cups of water.Each day Kim drinks twice as many cups of tea as cups of water.They work for 10 days during a fortnight and drink a total of 140cups of tea and 90cups of water each day, how many cups of tea each day and the same number of cups of water each day, how many cups of tea does Simon drink each day and how many cups of tea does Kim drink each day?

Answer 1

Simon:

cups of water --- x per day
cups of tea ------ x+1 per day

Kim:
cups of water --- y per day
cups of tea ----- 2y per day

".. drink a total of 140cups of tea and 90cups of water each day" ? each day?? , not reasonable!
did you mean for the 10 days?

If for 10 days:
10(x+y) = 90
x+y = 9

10(x+1) + 10(2y) = 140
x+1 + 2y = 14
x + 2y = 13

subtract them:
y = 4
then x = 5

state your conclusion

Answer 2

To solve this problem, let's break it down step by step.

First, let's assume that Simon drinks x cups of water each day. Since each day Simon drinks one more cup of tea than cups of water, he would then drink (x + 1) cups of tea each day.

Now, let's consider Kim. We know that Kim drinks twice as many cups of tea as cups of water each day. So, if Kim drinks x cups of water each day, she would then drink 2x cups of tea each day.

Now, let's use the given information: Simon and Kim drink a total of 140 cups of tea and 90 cups of water each day. Since Simon drinks (x + 1) cups of tea and Kim drinks 2x cups of tea each day, we can set up the following equation:

(x + 1) + 2x = 140 [cups of tea]

Simplifying this equation, we get:

3x + 1 = 140

Subtracting 1 from both sides:

3x = 139

Dividing both sides by 3:

x = 46.33

Since the number of cups of tea and cups of water must be whole numbers, we need to round down x to the nearest whole number, which is 46. Therefore, Simon drinks 46 cups of water each day and (46 + 1) = 47 cups of tea each day.

Kim, on the other hand, drinks twice as many cups of tea as cups of water. Thus, Kim drinks 46 cups of water each day and 2 * 46 = 92 cups of tea each day.

Therefore, Simon drinks 47 cups of tea each day and Kim drinks 92 cups of tea each day.