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HESI RATIOS AND PROPORTIONS EXAM QUESTIONS
Actual Qs and Ans Expert-Verified Explanation
This Exam contains:
-Guarantee passing score -18 Questions and Answers -format set of multiple-choice -Expert-Verified Explanation Question 1: John buys 3 bags of chips for $4.50. How much will it cost John to buy five bags of chips?
Answer:
x=$7.50 Question 2: Change the following fractions to ratios: 19/40
Answer:
19:40
Question 3: Change the fraction to a ratio.
Answer:
5/6 = 5 : 6
Steps
- The numerator (5) is the first listed number.
- Then write the colon.
- Finally, place the denominator (6) after the colon.
Question 4: Solve the following for x: 15:x ? 3:8
Answer:
x=40 Question 5: Proportion:
Answer:
Two ratios that have equal values.Question 6: x:81 ? 9:27
Answer:
x=27
Question 7: Solve the proportion ( find the value of x ).
7:10 :: 14:x
Answer:
7:10 :: 14:x 7/10 = 14/x 7/10 x2/= 14/x 10 x 14 x =20
- Rewrite the proportion as a fraction (this might help to see the solution).
- Note that 7 × 2 = 14; therefore 10 × 2 = 20.
? Multiply 14 × 10 (two diagonal numbers). The answer is 140.? 140 ÷ 7 = 20 (Divide the remaining number.)
- The answer is 20.
Question 8: Solve the following for x: x:15 ? 120:225
Answer:
x=8 Question 9: The recipe states that 4 cups of sugar will make 144 cookies. How many cups of sugar are needed to make 90 cookies?
Answer:
x=2.5
Question 10: Solve the following for x: 7:5 ? 91:x
Answer:
x=65 Question 11: Solve the following for x: 360:60 ? 6:x
Answer:
x=1
Question 12: Solve the proportion (find the value of x).
x:63 ? 24:72.
Answer:
- Rewrite the proportion as a fraction.
2. Multiply the diagonal numbers: 24 × 63 = 1512.
3. Divide the answer (1,512) by the remaining number: 1,512 ÷ 72 = 21.
- The value for x is 21.
Question 13: Solve the proportion (find the value of x).
240:60 ? x:12.
Answer:
- Rewrite the proportion as a fraction.
2. Multiply the diagonal numbers together: 240 × 12 = 2,880.
3. Divide the answer (2,880) by the remaining number: 2,880 ÷ 60 = 48.
- The answer to x is 48.
Question 14: Change the following fractions to ratios: 22/91
Answer:
22:91
Question 15: HESI HINT:
Answer:
Ratios can be written several ways.
As a fraction: 5/12
Using a colon: 5:12
In words: 5 to 12
Proportions can be written two ways.
5/12 = 25/60
5 : 12 : : 25 : 60
NOTE: The numerator is listed first, then the denominator.
Question 16: Change the decimal to a ratio.
Answer:
0.025 > 25/1000 > 1/40 > 1 : 40
Steps
- Change the decimal to a fraction.
- Reduce the fraction.
- The numerator (1) is the first listed number.
- Then write the colon.
- Finally, place the denominator (40) after the colon.
Question 17: Ratio:
Answer:
A relationship between two numbers.Question 18: Solve the following for x: 7:9 ? x:63
Answer:
x=49