Math word problems for students involving real-life scenarios like weight, fabric cost, paint purchases, and school supplies.

Here are the step-by-step solutions for each problem shown in the task.

Problem E: Ben and his Brother

Step 1: Identify Ben's weight.
Ben weighs $7.6$ kg.

Step 2: Identify the relationship to his brother's weight.
His older brother is $3$ times as heavy.

Step 3: Calculate the brother's weight.
Multiply Ben's weight by $3$:
$$7.6 \times 3 = 22.8$$

Check: $7 \times 3 = 21$ and $0.6 \times 3 = 1.8$. $21 + 1.8 = 22.8$. The calculation is correct.

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Problem F: Sarah's Fabric

Step 1: Identify the amount of fabric bought.
Sarah bought $12$ meters.

Step 2: Identify the cost per meter.
The fabric costs $\$6.29$ per meter.

Step 3: Calculate the total cost.
Multiply the meters by the price per meter:
$$12 \times 6.29$$

Let's break it down:
$$10 \times 6.29 = 62.90$$
$$2 \times 6.29 = 12.58$$
$$62.90 + 12.58 = 75.48$$

Check: $12 \times 6 = 72$. The answer should be a bit more than $72$. $75.48$ makes sense.

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Problem G: Tom's Paint

Step 1: Calculate the cost of the yellow paint.
Tom buys $3$ liters at $\$12.95$ per liter.
$$3 \times 12.95 = 38.85$$
*(Calculation: $3 \times 12 = 36$, $3 \times 0.95 = 2.85$. $36 + 2.85 = 38.85$)*

Step 2: Calculate the cost of the blue paint.
Tom buys $2$ liters at $\$14.95$ per liter.
$$2 \times 14.95 = 29.90$$
*(Calculation: $2 \times 15 = 30$, minus $2 \times 0.05 = 0.10$. $30 - 0.10 = 29.90$)*

Step 3: Add the two costs together.
$$38.85 + 29.90 = 68.75$$

Check: $38 + 29 = 67$. $0.85 + 0.90 = 1.75$. $67 + 1.75 = 68.75$. The calculation is correct.

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Problem H: Carlos's School Supplies

Step 1: Calculate the total cost of the pens.
Carlos buys $6$ pens at $\$3.50$ each.
$$6 \times 3.50 = 21.00$$
*(Calculation: $6 \times 3 = 18$, $6 \times 0.5 = 3$. $18 + 3 = 21$)*

Step 2: Determine how much money he has left.
He started with $\$25.00$. Subtract the cost of the pens from the total money.
$$25.00 - 21.00 = 4.00$$

Check: $21 + 4 = 25$. The calculation is correct.

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Final Answer:
E: 22.8 kg
F: $75.48
G: $68.75
H: $4.00