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3 years ago

Write two perfect squares that each have a value greater than 100 and less than 200.

Mathematics

1 answer:

amm18123 years ago

8 0

${11}^{2} = 121$
And

${12}^{2} = 144$

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Part of the proceeds from a garage sale was $470 worth of $10 and $20 bills. If there were 14 more $10 bills than $20 bills, fin

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Step-by-step explanation:

Given,

Worth of proceeds from garage = $470

Let,

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y be the number of $20 bills.

According to given situation;

10x+20y=470 Eqn 1

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Putting value of x from Eqn 2 in Eqn 1

$10(y+14)+20y=470\\10y+140+20y=470\\30y=470-140\\30y=330$

Dividing both sides by 30

$\frac{30y}{30}=\frac{330}{30}\\y=11$

Putting y=11 in Eqn 2

$x=11+14\\x=25$

There are 25 $10 bills and 11 $20 bills.

Keywords: linear equation, substitution method

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