$62,342 is the salary earned by Ava.
<u>Step-by-step explanation</u>:
<u>step 1</u> :
Xavier's salary = $42,700
<u>step 2</u> :
Ava's salary = 46% higher than Xavier salary.
= 100% of Xavier salary + 46% of Xavier salary
= 146% of Xavier salary
<u>step 3 </u>:
Ava is earning a salary = (146/100)42,700
= 146 427
= 62,342
∴ Ava is earning a salary of $62,342.
Connor has 14 quarters and 28 dimes.
Step-by-step explanation:
Given,
Worth of coins = $6.30 = 6.30*100 = 630 cents
We know that,
1 quarter = 25 cents
1 dime = 10 cents
Let,
Quarter = x
Dime = y
According to given statement;
25x+10y=630 Eqn 1
The number of dimes is 14 more than the number of quarters
y = x+14 Eqn 2
Putting value of y from Eqn 2 in Eqn 1
Dividing both sides by 35
Putting x=14 in Eqn 2
Connor has 14 quarters and 28 dimes.
Keywords: linear equation, substitution method
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