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Solve problems 1124, 1125, and 1126 regarding discounts, rectangle area, and alloy composition.

Mathematics

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Here are the solutions to the problems:

1124.

  1. Calculate the discount amount for one toy car.

    The original price of one toy car is 420 tg. The discount is 15%.

    Discount per car=0.15×420 tg=63 tg\text{Discount per car} = 0.15 \times 420 \text{ tg} = 63 \text{ tg}
  2. Calculate the total amount saved for 7 toy cars.

    The kindergarten buys 7 toy cars.

    Total savings=7×63 tg=441 tg\text{Total savings} = 7 \times 63 \text{ tg} = 441 \text{ tg}

    The kindergarten saves 441 tg.

    441 tg\boxed{\text{441 tg}}

    1125.

  3. Calculate the length of the rectangle.

    The width of the rectangle is 6 cm. The length is 75% longer than the width.

    Length=6 cm+(0.75×6 cm)\text{Length} = 6 \text{ cm} + (0.75 \times 6 \text{ cm}) Length=6 cm+4.5 cm=10.5 cm\text{Length} = 6 \text{ cm} + 4.5 \text{ cm} = 10.5 \text{ cm}
  4. Calculate the area of the rectangle.

    The area of a rectangle is given by the formula Area=Length×Width\text{Area} = \text{Length} \times \text{Width}.

    Area=10.5 cm×6 cm=63 cm2\text{Area} = 10.5 \text{ cm} \times 6 \text{ cm} = 63 \text{ cm}^2

    The area of the rectangle is 63 cm2^2.

    63 cm2\boxed{\text{63 cm}^2}

    1126.

  5. Determine the percentage of tin in the bronze.

    Bronze is 85% copper, and the rest is tin.

    Percentage of tin=100%−85%=15%\text{Percentage of tin} = 100\% - 85\% = 15\%
  6. Calculate the mass of copper in 5 kg of bronze.

    Mass of copper=0.85×5 kg=4.25 kg\text{Mass of copper} = 0.85 \times 5 \text{ kg} = 4.25 \text{ kg}
  7. Calculate the mass of tin in 5 kg of bronze.

    Mass of tin=0.15×5 kg=0.75 kg\text{Mass of tin} = 0.15 \times 5 \text{ kg} = 0.75 \text{ kg}
  8. Calculate how many kilograms more copper there is than tin.

    Difference=Mass of copper−Mass of tin\text{Difference} = \text{Mass of copper} - \text{Mass of tin} Difference=4.25 kg−0.75 kg=3.5 kg\text{Difference} = 4.25 \text{ kg} - 0.75 \text{ kg} = 3.5 \text{ kg}

    There is 3.5 kg more copper than tin.

    3.5 kg\boxed{\text{3.5 kg}}
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