Math worksheet with word problems on systems of equations for practice.

Let’s solve each problem step by step. I’ll go one at a time, check my math, and then give the final answers clearly.

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Problem 1:
> Use an equation or expression for each problem. Then, write each solution in whatever mathematical means you can (decimal, fraction, percent).

a) A local bakery sells cupcakes for $2.50 each. If they sell 48 cupcakes in one day, how much money do they make?

→ Equation:
Total = price per cupcake × number sold
Total = 2.50 × 48

Calculate:
2.50 × 48 = ?

Break it down:
2 × 48 = 96
0.50 × 48 = 24
96 + 24 = 120

✔ So, they make $120.00

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b) There are 30 students in a class. 1/5 of them wear glasses. How many students wear glasses?

→ Equation:
Number with glasses = total students × fraction
= 30 × (1/5) = 30 ÷ 5 = 6

✔ Answer: 6 students

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c) Don’t have all that hard work go to waste! You saved $75 from your allowance. You want to buy a video game that costs $60. What percent of your savings will you spend on the game?

→ Equation:
Percent spent = (amount spent / total saved) × 100%
= (60 / 75) × 100%

Simplify 60/75: divide numerator and denominator by 15 → 4/5
4/5 = 0.8 → 0.8 × 100% = 80%

✔ Answer: 80%

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d) Suppose Emily buys enough art supplies to make 12 paintings. Each painting uses 3/4 tube of paint. How many tubes does she need?

→ Equation:
Total tubes = number of paintings × paint per painting
= 12 × (3/4)

Calculate:
12 × 3 = 36
36 ÷ 4 = 9

✔ Answer: 9 tubes

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e) Jay “World Record” Smith runs 100 meters in 9.8 seconds. At this rate, how long would it take him to run 1 kilometer? (Hint: 1 km = 1000 m)

→ First, find how many 100-meter segments in 1000 meters:
1000 ÷ 100 = 10

So he runs 10 times the distance → takes 10 times the time:
9.8 × 10 = 98 seconds

✔ Answer: 98 seconds

*(Optional: convert to minutes — 98 sec = 1 min 38 sec — but question doesn’t ask, so leave as 98 seconds)*

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f) The average human body temperature is 98.6°F. Convert this to Celsius using the formula:
C = (F - 32) × 5/9

→ Plug in F = 98.6
C = (98.6 - 32) × 5/9
= (66.6) × 5/9

First, 66.6 × 5 = 333
Then, 333 ÷ 9 = 37

✔ Answer: 37°C

*(Note: This is exact because 98.6°F is defined as 37°C in medical contexts.)*

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g) Three friends—Maria, Marcus, and Austin—buy pizza. They split the cost equally. The total bill is $24.75. How much does each person pay?

→ Equation:
Each pays = total ÷ number of people
= 24.75 ÷ 3

Divide:
24 ÷ 3 = 8
0.75 ÷ 3 = 0.25
So, 8 + 0.25 = 8.25

✔ Answer: $8.25 each

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h) Kelly wants to open a lemonade stand. It will cost her $15 to buy lemons, sugar, and cups. She plans to charge $1.50 per cup. How many cups must she sell to break even? (Break even = cover her costs)

→ Equation:
Number of cups = total cost ÷ price per cup
= 15 ÷ 1.50

Multiply numerator and denominator by 10 to eliminate decimal:
150 ÷ 15 = 10

✔ Answer: 10 cups

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Final Answer:

a) $120.00
b) 6 students
c) 80%
d) 9 tubes
e) 98 seconds
f) 37°C
g) $8.25
h) 10 cups