This results in 9 = 0.25t. Use a calculator to divide! t = 36; therefore, the correct answer is
(D).
- C Taking the two dogs together, Everett has 35 + 55 = 90 pounds of dog. Set up the following
proportion to determine the lowest amount of water the dogs need per day:
. Cross-multiply to get 10x = 765, so x = 76.5. Multiply by 7 days to
get the weekly amount of water the dogs need: 76.5 × 7 = 535.5 ounces, or approximately
536 ounces. Only (C) includes 536 as the low-end amount. Therefore, the correct answer is
(C).
11. A In order to answer this question, you need to deal with the ratio as well as the unit
conversion. For the large batch of dry rub, Priya’s friend is planning to use 91 ounces of
chili powder. Since the paprika and the chili powder must be used in a ratio of 4 to 7, you
can set up a proportion to determine how much paprika is needed: . Cross-multiply
and solve for x to determine that x (i.e., paprika) = 52 ounces. So you have 52 ounces of
paprika and 91 ounces of chili powder for a total of 143 ounces. Multiply that by your
conversion number, 28.3, to determine that this is equivalent to 4,046.9 grams, which is
closest to (A).
- D Whenever there are variables in the problem and in the answer choices, plug in. If w = 20,
then Luciano’s cup has 20 – 2 = 18 ounces at the end of day 1. At the end of 7 days,
Luciano’s cup would have 18 – 8 = 10 ounces. After 11 days, Luciano’s cup would hold 10
– 5 = 5 ounces. Plug in 20 for w in the answer choices to see which answer is equal to the
target number of 5. Choice (A) becomes = 2.25. This does not match the
target number of 5, so eliminate (A). Choice (B) becomes − 10 = − 10 = − 1.
Eliminate (B). Choice (C) becomes (20) – 10 = 10 – 10 = 0. Eliminate (C). Choice (D)
becomes = 5. This matches the target number; therefore, the correct answer
is (D).
- B According to the line of best fit, in 1995 there were 20 coyotes in the park. In 2000, there
were 140 coyotes in the park. This is an increase of 120 coyotes over a period of 5 years,