Question 212507
Loretta's age now is twice John's age five years ago. In three years, the sum of John's and Loretta's ages will be 50. How old are Loretta and John today?
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Now DATA:
Let John's age be "J" ; Let Loretta's age be "L"
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Equations:
L = 2(J-5)
(L+3)+(J+3)= 50
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Substitute; then solve for J; then solve for L.
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Fred is closing a bank account and wants to distribute the money among his grandchildren by giving each of them $20.00 To do this, Fred, needs an additional $62.00. Instead, he gave each grandchild $17.00 and had $7.00 left over. How many grandchildren does Fred have? How much money did he have in the bank account?
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Let "a" be the amount of money in the bank account.
Let "g" be the number of grandchildren.
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Equations:
20g = x+62
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17g = x-7
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Substitute for "x" and solve for "g":
20g = 17g+7+62
3g = 69
g = 23 (# of grandchildren)
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x = 17g+7
x = 17*23+7
x = $398 (amt in the bank)
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Cheers,
Stan H.