SAT Math: Percents 02

The sum of three numbers is 810. One of the numbers, $x$ , is 25% more than the sum of the other two numbers. What is the value of $x$ ?

$270$

$360$

$450$

$540$

The triangle was altered by decreasing its base by 40% and decreasing its width by $p$ percent. If these alterations decrease the area of the triangle by 58%, what is the value of $p$ ?

30%

40%

50%

60%

Sierra bought a camera at a store that gave a 30% discount off its original price. The total amount she paid was $t$ dollars, including a 5% sales tax on the discounted price. Which of the following represents the original price of the camera in terms of $t$ ?

$t(0.3)(0.05)$

$t(0.3)+t(0.05)$

$\dfrac{t}{(0.7)(1.05)}$

$t(0.7)(1.05)$

Jack is studying the production of apples by two types of apple trees. He noticed that Type 1 trees produced 28% more apples than Type 2 trees did. Based on Jack's observations, if Type 1 trees produced 104 apples, how many apples did Type 2 trees produce?

$79$

$81$

$74$

$80$

75% of 64 is the same as 60% of what number?

$48$

$36$

$74$

$80$

At Washington Middle School, approximately 15% of enrolled 7th graders, and 8% of enrolled 8th graders were inducted into the Scholars Program last year. If there were 452 7th graders and 315 8th graders enrolled at Washington Middle School last year, which of the following is closest to the total number of 7th and 8th graders at Washington Middle School last year who were inducted into the Scholars Program?

$176$

$68$

$93$

$25$