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# SAT 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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