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Question Lydia has \( n \) nickels and \( d \) dimes. She has no more than Video \( \$ 1 \) worth of coins altogether. Write this situation as an inequality.

Ask by Wyatt Gough. in the United States
Jan 24,2025

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The inequality is \( 0.05n + 0.10d \leq 1 \).

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Beyond the Answer

The total value of Lydia's nickels and dimes must not exceed $1. Since each nickel is worth $0.05 and each dime is worth $0.10, you can express this as an inequality: \[ 0.05n + 0.10d \leq 1 \] This shows that the combined value of Lydia's nickels and dimes is limited to one dollar. To keep things straightforward, you could also multiply the entire inequality by 100 to eliminate the decimals. This gives you \( 5n + 10d \leq 100 \). Both expressions represent the same situation with a slightly different format.

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