Question

1. nicole usually scores between 89% and 100% on her math quizzes, unless the quiz is the day after a track meet. on the quizzes she takes right after a track meet, she has about an 11% decrease in her scores. if nicole had a track meet the day before a quiz, what would she score on the quiz?

a between 70% and 78%
b between 79% and 89%
c between 90% and 99%
d between 100% and 111%

1. suriko is washing cars to raise money for an animal shelter. he charges $4.00 per car. he washes 23 cars in one day. sixty - five percent of surikos earnings paid for the supplies he used. how much is left to donate to the animal shelter?

a $92.00
b $59.80
c $32.20
d $27.00

1. ricardo works at his aunts store. his aunt gives him 5% of the profits from the days he works. one day his aunt sold $2,400 worth of goods, of which 50% was profit. how much did ricardo make that day?

a $60
b $120
c $180
d $200

1. when sammys school bus has traveled 4.3 miles, sammy has completed 40% of his trip home from school. how many miles does sammy travel on the school bus from school to home?

record your answer in the boxes. then fill in the bubbles. be sure to use the correct place value.

Explanation:

Problem 1

Step1: Calculate lower score after decrease

Original lower score: 89%. Decrease by 11%, so remaining percentage is $100\% - 11\% = 89\%$.
Score: $89\% \times 0.89 = 79.21\%$

Step2: Calculate upper score after decrease

Original upper score: 100%. Decrease by 11%, remaining percentage is $89\%$.
Score: $100\% \times 0.89 = 89\%$

Problem 2

Step1: Calculate total earnings

Charge per car: $\$4.00$, number of cars: 23.
Total earnings: $\$4.00 \times 23 = \$92.00$

Step2: Calculate donation percentage

Supply cost is 65%, so donation is $100\% - 65\% = 35\%$.

Step3: Calculate donation amount

$\$92.00 \times 0.35 = \$32.20$

Problem 3

Step1: Calculate total profit

Goods sold: $\$2,400$, profit is 50%.
Total profit: $\$2,400 \times 0.50 = \$1,200$

Step2: Calculate Ricardo's earnings

He gets 5% of profits.
Earnings: $\$1,200 \times 0.05 = \$60$

Problem 4

Step1: Set up trip length equation

Let $x$ = total trip miles. 40% of $x$ is 4.3 miles:
$0.40x = 4.3$

Step2: Solve for total trip length

$x = \frac{4.3}{0.40} = 10.75$

Answer:

1. B Between 79% and 89%
2. C $32.20
3. A $60
4. 10.75