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Anna&katie together have $60.Anna has $9 more than twice Katie's amount how much money does each have? Write a system and use substitution to solve

Sagot :

Answer:

Ana had $17 and Katie had $43.

Step-by-step explanation:

Since Ana and Katie together have $60, you can express this as follows:

x+y=60, where:

x is the amount that Ana has

y is the amount that Katie has

Also, Anna has $9 more than twice Katie's amount, which can be expressed as:

x=2y+9

The system is:

x+y=60 (1)

x=2y+9 (2)

Now, you can replace (2) in (1) and solve for y:

2y+9+y=60

3y=60-9

3y=51

y=51/3

y=17

Finally, you can replace the value of y in (2) to find x:

x=2(17)+9

y=34+9

y=43

According to this, the answer is that Ana had $17 and Katie had $43.

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