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SAT Topic Tests

Numbers And Operations - Advanced

         

Alex and Bella are used car salesmen.
Alex's weekly salary is $500 plus \( 15\% \) of his sales, while Bella's weekly salary is $300 plus \( 20\% \) of her sales.
In the first week of June, they had the same amount of sales and the same compensation. What is their sales (in dollars)?

How many distinct ordered pairs \( (m,n) \) are there such that \( m \) is an odd integer satisfying \( 1 \leq m \leq 10 \) and \(n\) is an integer satisfying \( 1 \leq n \leq 10 \)?

A) 32
B) 50
C) 70
D) 81
E) 100

At the grocery store, the fruit salad is obtained by mixing strawberries, grapes, and watermelon in the ratio of 3 to 4 to 5 respectively by weight. What fraction of the mixture, by weight, is strawberries?

A) \( \frac{1}{3} \)
B) \( \frac{ 1}{4} \)
C) \( \frac{ 1}{5} \)
D) \( \frac{ 1}{6} \)
E) \( \frac{ 5}{ 12} \)

How many ordered pairs of positive integers are solutions to the equation

\[ 4x + 2y = 16? \]

A) \(1\)
B) \(2\)
C) \( 3 \)
D) \( 4 \)
E) \(5\)

The integer \(N\) is a 2-digit number. When \(N\) is divided by 10, it leaves a remainder of 7. When \(N\) is divided by 7, it leaves a remainder of 5. What is the value of \(N\)?

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