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Bumek [7]
3 years ago
15

patty's pies made 2 peach pies using 10 cups of peaches. they made 3 pies using 15 cups of peaches and 4 pies using 20 cups of p

eaches. Predict how many cups of peaches would need to make 9 peach pies?
Mathematics
2 answers:
agasfer [191]3 years ago
8 0
You would need 45 cups of peaches ten cups of peaches equals to two pies ten divided by two equals five. One pie equals five cups of peaches there for five times nine would equal to 45 which then means you need 45 cups of peaches to equal to 9 peach pies.
morpeh [17]3 years ago
3 0
Seems to be 10 cups per 2 peaches or 10/2 or 5/1 or 5 cups of peaches per pie

so for 9 pies, 9 times number of peaches per pie=9 times 5=45 cups pf peaches


needs 45 cups of peaches to make 9 peach pies
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An investment of ​$100 comma 000 was made by a business club. The investment was split into three parts and lasted for one year.
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Answer:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest

Step-by-step explanation:

Total Investment = ​$100,000

The investment was split into three parts (say x, y and z)

  • x+y+z=100000

Simple Interest = Principal X Rate/100 X Time

The first part of the investment earned​ 8% interest

Interest on the first part = 0.08x

The second part of the investment earned​ 6% interest

Interest on the second  part = 0.06y

The third part of the investment earned​ 9% interest

Interest on the third part = 0.09z

Total interest from the investments = $ 7380.

Therefore:

0.08x+0.06y+0.09z=7380

The interest from the first investment was 2 times the interest from the second.

0.08x=2 X 0.06y

0.08x=0.12y

Substituting we have:

0.12y+0.06y+0.09z=7380

0.18y+0.09z=7380

From 0.08x=0.12y

x=1.5y

Substituting x=1.5y into x+y+z=100000

1.5y+y+z=100000

2.5y+z=100000

z=100000-2.5y

Substituting z=100000-2.5y into 0.18y+0.09z=7380

0.18y+0.09(100000-2.5y)=7380

0.18y+9000-0.225y=7380

-0.045y=-1620

Divide both sides by -0.045

y=36000

Recall: x=1.5y

x=1.5 X 36000

x =54000

x+y+z=100000

54000+36000+z=100000

z=100000-(54000+36000)

z=10,000

Therefore:

  • $54000 was invested at​ 8% interest
  • $36000 was invested at​ 6% interest
  • $10000 was invested at​ 9% interest
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