Table problems with percents and ratios (ACT). Game on.

Table problems with percents and ratios (ACT) is a grade 7 math skill aligned to Common Core standard 7.RP.A.3: use proportional relationships to solve multistep ratio and percent problems. Below are 8 practice questions with answers and step-by-step explanations, drawn from the 10 table problems with percents and ratios (act) problems our math games drill.

CCSS 7.RP.A.310 questions in the bank
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Warm-upeasy

An online store tracked orders by size. How many orders were completed?
SizeOrders placedPercent completedSmall4090%Medium5080%Large3070%\begin{array}{l|c|c} \text{Size} & \text{Orders placed} & \text{Percent completed} \\ \hline \text{Small} & 40 & 90\% \\ \text{Medium} & 50 & 80\% \\ \text{Large} & 30 & 70\% \end{array}

Small: 40⋅0.90=36.40 \cdot 0.90 = 36\textsf{.} Medium: 50⋅0.80=40.50 \cdot 0.80 = 40\textsf{.} Large: 30⋅0.70=21.30 \cdot 0.70 = 21\textsf{.} Total completed: 36+40+21=9736+40+21=97 orders.

Mid-gameeasy

The table shows quiz grades for a class of students. What percent of the students earned an A?
GradeNumber of studentsA12B18C10D10\begin{array}{l|c} \text{Grade} & \text{Number of students} \\ \hline \text{A} & 12 \\ \text{B} & 18 \\ \text{C} & 10 \\ \text{D} & 10 \end{array}

Total students: 12+18+10+10=50.12+18+10+10=50\textsf{.} Percent with an A: 1250=0.24=24%.\dfrac{12}{50}=0.24=24\%\textsf{.}

Mid-gamemedium

A school sold tickets to two events. What is the ratio of gala revenue to fair revenue in simplest form?
EventTickets availablePrice eachPercent soldGala100$4080%Fair200$1560%\begin{array}{l|c|c|c} \text{Event} & \text{Tickets available} & \text{Price each} & \text{Percent sold} \\ \hline \text{Gala} & 100 & \text{\char36}40 & 80\% \\ \text{Fair} & 200 & \text{\char36}15 & 60\% \end{array}

Gala tickets sold: 100⋅0.80=80100 \cdot 0.80 = 80, so revenue is 80⋅40=3,200.80 \cdot 40 = 3{,}200\textsf{.} Fair tickets sold: 200⋅0.60=120200 \cdot 0.60 = 120, so revenue is 120⋅15=1,800.120 \cdot 15 = 1{,}800\textsf{.} The ratio 3,200:1,8003{,}200:1{,}800 simplifies by dividing by 200200 to 16:9.16:9\textsf{.}

Mid-gamemedium

The table shows miles driven and gasoline used over two weeks. At the same miles-per-gallon rate, how many gallons are needed to drive 150150 miles?
WeekMilesGallons1240821806\begin{array}{l|c|c} \text{Week} & \text{Miles} & \text{Gallons} \\ \hline 1 & 240 & 8 \\ 2 & 180 & 6 \end{array}

Week 11: 2408=30\dfrac{240}{8}=30 miles per gallon. Week 22: 1806=30\dfrac{180}{6}=30 miles per gallon. So 15030=5\dfrac{150}{30}=5 gallons.

Mid-gamemedium

Three purchases are taxed at the rates shown. What is the total cost including tax?
ItemPriceSales taxBook$405%Headphones$608%Cable$2010%\begin{array}{l|c|c} \text{Item} & \text{Price} & \text{Sales tax} \\ \hline \text{Book} & \text{\char36}40 & 5\% \\ \text{Headphones} & \text{\char36}60 & 8\% \\ \text{Cable} & \text{\char36}20 & 10\% \end{array}

Book: 40+0.05⋅40=42.40+0.05\cdot 40=42\textsf{.} Headphones: 60+0.08⋅60=64.80.60+0.08\cdot 60=64.80\textsf{.} Cable: 20+0.10⋅20=22.20+0.10\cdot 20=22\textsf{.} Total: 42+64.80+22=$128.80.42+64.80+22=\text{\char36}128.80\textsf{.}

Mid-gamemedium

At a fitness challenge, each completed attempt scores the points shown. How many points were scored in all?
StationAttemptsPercent completedPoints eachJump2080%1Sprint1560%2Throw2540%3\begin{array}{l|c|c|c} \text{Station} & \text{Attempts} & \text{Percent completed} & \text{Points each} \\ \hline \text{Jump} & 20 & 80\% & 1 \\ \text{Sprint} & 15 & 60\% & 2 \\ \text{Throw} & 25 & 40\% & 3 \end{array}

Jump: 20⋅0.80=1620\cdot 0.80=16 completed for 16⋅1=1616\cdot 1=16 points. Sprint: 15⋅0.60=915\cdot 0.60=9 completed for 9⋅2=189\cdot 2=18 points. Throw: 25⋅0.40=1025\cdot 0.40=10 completed for 10⋅3=3010\cdot 3=30 points. Total: 16+18+30=6416+18+30=64 points.

Mid-gamemedium

Two store locations report inventory and the percent sold. How many more items were sold at the South store than at the North store?
StoreInventoryPercent soldNorth20025%South16050%\begin{array}{l|c|c} \text{Store} & \text{Inventory} & \text{Percent sold} \\ \hline \text{North} & 200 & 25\% \\ \text{South} & 160 & 50\% \end{array}

North sold 200⋅0.25=50200\cdot 0.25=50 items. South sold 160⋅0.50=80160\cdot 0.50=80 items. Difference: 80−50=3080-50=30 items.

Buzzer beatermedium

The table shows two juice mixtures. For Mixture A, what decimal part of the total liquid is concentrate?
MixtureConcentrate (L)Water (L)A28B39\begin{array}{l|c|c} \text{Mixture} & \text{Concentrate (L)} & \text{Water (L)} \\ \hline \text{A} & 2 & 8 \\ \text{B} & 3 & 9 \end{array}

Mixture A has 2+8=102+8=10 liters total. Concentrate is 210=0.2\dfrac{2}{10}=0.2 of the mixture.

Overtime

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Tests that cover table problems with percents and ratios (act):
ACTNAEPSBACSC READYMCAP
Reporting domains for this skill
SAT All grades: Problem-Solving and Data AnalysisACT All grades: Integrating Essential SkillsACT All grades: Preparing for Higher MathSTAAR Grade 7: Data Analysis, Personal Financial Literacy, and ProbabilitySTAAR Grade 7: Numerical Representations and RelationshipsSTAAR Grade 8: Data Analysis, Personal Financial Literacy, and Probability
More Grade 7 skills
Probability from number setsSurface area in context (SAT)Multi-step perimeter, area, and volume (ACT)Probability basicsProbability of simple eventsSimple interestTriangle inequalityOne-event probability word problemsAll Grade 7 practice →

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