Question

consumer math, 2nd ed. exam 3 units 5 - 7
multiple choice: completely fill in the circle next to the best answer. use a number - two pencil only. do not make stray marks on this sheet.

1. jeremy spends $8,100 for food for his family of four. if that represents 18% of his disposable income, what is jeremys disposable income? $35,000 $35,500 $45,000 none of these
2. at a local wholesale club, jeremys wife spent $14 for a 3.5 lb. whole chicken. what was her unit price? $4.00 $3.50 $14.00 none of these
3. consumer price index data estimated an 8.0% increase in prices from 2021 to 2022. what would a dinner cost in 2022 that cost $25 in 2021? $23 $27 $30 none of these
4. lynne and daughter lissie love chocolate. while in switzerland, they wanted to buy quality chocolate to bring home to australia. one vendor was selling 4 kg chocolate for $60, a second vendor sold 3 kg for $48, and a third sold 5 kg for $65. they bought the least expensive per pound. how much did they pay per pound? $5.91 per pound $6.82 per pound $7.27 per pound none of these
5. three times a week jeanie eats almond butter (a serving = 1 tablespoon) with 3.4 g protein per serving. how much protein does she consume each week from almond butter alone? 3.4 g 6.8 g 12.6 g none of these
6. how many weeks must pass before jeanie (#5) consumes 1 kg of protein from almond butter alone? 99 weeks 98 weeks 100 weeks none of these
7. francine weighed 135 pounds when she was 18. imperceptibly, she steadily gained 2 pounds per year thereafter. she is now 42 years old. what is her current weight? 153 lbs. 177 lbs. 183 lbs. none of these
8. dr. rice pays $37 per suit for dry cleaning. he estimates he will need to have his 2 suits cleaned 4 times per year. what is his semiannual cost to have the suits cleaned? $74 $148 $296 none of these
9. when garments have been sanforized, the maximum shrinkage is no more than 1% 2% 3% none of these
10. larry bought running shoes that were discounted 40%. if the sale price was $54, what was the original price? $135 $90 $74 $108

Explanation:

Step1: Solve question 1

Let disposable income be $x$. We know that $18\%$ of $x$ is $8100$, so $0.18x = 8100$. Then $x=\frac{8100}{0.18}=45000$.

Step2: Solve question 2

To find the unit - price of the chicken, divide the total cost by the weight. The unit - price $=\frac{14}{3.5}=4$ dollars per pound.

Step3: Solve question 3

If the price in 2021 is $25$ and there is an $8\%$ increase, the price in 2022 is $25\times(1 + 0.08)=25\times1.08 = 27$.

Step4: Solve question 4

First, convert kg to pounds. 1 kg = 2.20462 pounds.
For the first vendor: 4 kg = 4×2.20462 = 8.81848 pounds, and the unit - price per pound is $\frac{60}{8.81848}\approx6.80$ dollars per pound.
For the second vendor: 3 kg = 3×2.20462 = 6.61386 pounds, and the unit - price per pound is $\frac{48}{6.61386}\approx7.26$ dollars per pound.
For the third vendor: 5 kg = 5×2.20462 = 11.0231 pounds, and the unit - price per pound is $\frac{65}{11.0231}\approx5.90$ dollars per pound. The least expensive is approximately $5.91$ dollars per pound.

Step5: Solve question 5

Jeanie eats almond butter 3 times a week, and each serving has 3.4 g of protein. So the protein she consumes per week is $3\times3.4 = 10.2$ g. Since none of the options match, the answer is None of these.

Step6: Solve question 6

1 kg = 1000 g. If she consumes 10.2 g of protein per week, the number of weeks to consume 1000 g is $\frac{1000}{10.2}\approx98.04\approx98$ weeks.

Step7: Solve question 7

Francine's age difference is $42−18 = 24$ years. She gains 2 pounds per year, so the weight she gained is $24\times2=48$ pounds. Her current weight is $135 + 48=183$ pounds.

Step8: Solve question 8

He has 2 suits cleaned 4 times a year, so the total number of cleanings per year is $2\times4 = 8$ times. The total annual cost is $37\times8 = 296$ dollars. The semi - annual cost is $\frac{296}{2}=148$ dollars.

Step9: Solve question 9

When garments have been Sanforized, the maximum shrinkage is no more than 1%.

Step10: Solve question 10

Let the original price be $p$. If it is discounted 40%, the sale price is $(1 - 0.4)p=0.6p$. Given $0.6p = 54$, then $p=\frac{54}{0.6}=90$.

Answer:

1. C. $45,000
2. A. $4.00
3. B. $27
4. A. $5.91 per pound
5. D. None of these
6. B. 98 weeks
7. C. 183 lbs.
8. B. $148
9. A. 1%
10. B. $90