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Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins sp
Question
Diego has $11 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $60 and begins spending $2 per week on supplies for her art class.
Is there a week when they have the same amount of money? How much do they have at that time?
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Mathematics
5 years
2021-08-30T11:09:26+00:00
2021-08-30T11:09:26+00:00 1 Answers
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Answer:
Let x represents the week and y represents the amount of money.
As per the given statement:
Diego has $11 and begins $5 each week toward buying a new phone.
⇒ ……[1]
It is also given that Lin $60 and begins spending $2 per week.
⇒ ….[2]
when they have the same amount.
equate [1] and [2] we get;
Add both sides 2x we get;
Subtract 11 from both sides we get;
Divide both sides by 7 we get;
x = 7
Substitute the value of x = 7 in [1] we have;
Therefore, at x= 7 week they have the same amount of money and they have the amount at that time, $ 46
Step-by-step explanation: