A baker in San Juan uses $\frac{3}{4}$ cup of sugar for every $\frac{1}{2}$ batch of guava pastries. How many cups of sugar are needed for 1 full batch of pastries?
Ratios And Proportional Relationships
Question · Easy
Would you rather: marbles
Short
Elena walks $\frac{2}{5}$ of a mile along the Boardwalk in Ponce in $\frac{1}{10}$ of an hour. What is Elena's walking speed in miles per hour?
A grocery store sells a 12-pack of juice boxes for $$4.80$ and an 8-pack of the same juice boxes for $$3.60$. Which pack has a lower price per unit and by how much?
A table shows a proportional relationship between hours worked ($x$) and total earnings ($y$ in dollars): $(2, 28)$, $(5, 70)$, and $(8, 112)$. What is the constant of proportionality ($k = \frac{y}{x}$)?
A car travels at a constant speed. The graph of the relationship between time in hours ($x$) and distance in miles ($y$) passes through the point $(4, 180)$. Which equation represents this relationship?
Find x
A family spends $$40.00$ on lunch at a restaurant in Mayagüez and leaves a $15\%$ tip for the server. What is the amount of the tip?
Carlos buys a textbook for $$50.00$. If the local sales tax rate is $7\%$, what is the total cost of the textbook including tax?
On a map of El Yunque National Forest, the scale is $1\text{ cm} = 5\text{ m}$. If a hiking trail measures $4.5\text{ cm}$ on the map, what is the actual length of the trail in meters?
A painter paints $\frac{5}{8}$ of a wall in $\frac{1}{3}$ of an hour. At this rate, how many walls can the painter paint in 1 hour?
Question · Medium
A line representing a proportional relationship passes through $(0, 0)$ and $(1, 65)$ on a coordinate plane, where $x$ represents hours driven and $y$ represents distance in kilometers. What does the point $(1, 65)$ represent?
The table below shows a proportional relationship between weight in pounds ($x$) and cost in dollars ($y$): - $2\text{ lbs} \rightarrow $7.00$ - $5\text{ lbs} \rightarrow $17.50$ - $n\text{ lbs} \rightarrow $31.50$ Find the value of $n$.
A store in Bayamón offers a $20\%$ discount on a jacket with an original price of $$85.00$. What is the sale price of the jacket before tax?
The student council club membership increased from 40 students last year to 50 students this year. What is the percent increase in membership?
The price of a computer monitor dropped from $$120.00$ to $$90.00$. What was the percent decrease in price?
A student estimated that a science experiment would take 50 minutes, but the actual time was 40 minutes. What is the student's percent error?
Sofia deposits $$1,200.00$ into a savings account that earns $4\%$ simple interest per year. How much total interest will she earn after 3 years?
A laptop originally priced at $$500.00$ is on sale for $10\%$ off. A sales tax of $7\%$ is then applied to the discounted price. What is the final total cost of the laptop?
A dinner bill before tax and tip is $$60.00$. In Puerto Rico, sales tax is $11.5\%$, and the customer leaves a $15\%$ tip based on the pre-tax bill. What is the total amount paid?
A blueprint of a school garden uses a scale of $1\text{ cm} = 3\text{ m}$. On the blueprint, the rectangular garden measures $4\text{ cm}$ by $5\text{ cm}$. What is the actual area of the garden in square meters?
Brand A cereal costs $$3.84$ for a 16-ounce box. Brand B cereal costs $$5.28$ for a 24-ounce box. Which brand has a lower unit price and by how much per ounce?
A vehicle used $3.5$ gallons of gasoline to travel $112$ miles on a highway in Puerto Rico. Assuming constant fuel efficiency, how many gallons of gasoline will the vehicle need to travel $256$ miles?
Question · Hard
A salesperson earns a weekly base salary of $$1,500.00$ plus a $6\%$ commission on sales exceeding $$5,000.00$. If total weekly sales were $$12,500.00$, what were the salesperson's total earnings for the week?
An item with a list price of $$200.00$ is marked down by $20\%$. During a weekend clearance sale, an additional $15\%$ discount is taken off the reduced price. What is the final price of the item before tax?
On a regional map, $1\text{ inch} = 15\text{ miles}$. The distance between two towns measured along a highway on the map is $3\frac{3}{4}\text{ inches}$. If a truck travels at an average speed of $50\text{ mph}$, how long will the trip take?
A student measures the length of a metal rod to be $12.4\text{ cm}$. The true length certified by the manufacturer is $12.0\text{ cm}$. What is the percent error of the student's measurement to the nearest tenth of a percent?
Evaluate the expression: $-7 + 12$.
The Number System
Evaluate the expression: $-4 - 9$.
Evaluate the expression: $-6 \times (-8)$.
Evaluate the expression: $-36 \div 4$.
Which value of $x$ satisfies the equation $-15 + x = 0$?
What is the distance between $-8$ and $5$ on a standard number line?
What is the decimal equivalent of the fraction $\frac{3}{8}$?
Which fraction converts to a repeating decimal?
Simplify the expression: $-3.5 + 8.2 - 6.1$.
Evaluate the expression: $-\frac{3}{4} + \frac{2}{3}$.
Evaluate the expression: $-\frac{5}{6} \times \left(-\frac{3}{10}\right)$.
Evaluate the expression: $-\frac{7}{8} \div \frac{1}{4}$.
At noon in the mountains of Utuado, the temperature was $14^\circ\text{C}$. By midnight, the temperature dropped to $-5^\circ\text{C}$. What was the total change in temperature?
Mateo starts with a bank balance of $$45.00$. He deposits $$120.00$, withdraws $$180.00$, and is charged a $$15.00$ service fee. What is Mateo's final bank balance?
Simplify the expression: $-4 \times (3 - 8) + (-12) \div 3$.
What is the decimal expansion of $\frac{5}{11}$?
A scuba diver is at an elevation of $-18\text{ meters}$ relative to sea level. A bird is flying directly above the diver at an elevation of $+25\text{ meters}$. What is the vertical distance between the diver and the bird?
The daily low temperatures recorded during 5 winter days were $-4^\circ\text{C}$, $-1^\circ\text{C}$, $3^\circ\text{C}$, $-6^\circ\text{C}$, and $8^\circ\text{C}$. What was the mean daily low temperature?
Evaluate: $-2.5 \times 0.4 \times (-6)$.
Simplify: $-3 \left(2.4 - 5.1\right)$.
A stock price lost $$1.25$ per day for 4 consecutive days, then gained $$3.50$ on the fifth day. What was the net change in stock price over the 5 days?
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