Question
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Name Unit 4 2. Mia has 776 puzzlo pieces. She uses 68 pieces to start a puzzlo. Then, she pus the rest of the pieces equally into 6 containers. How many bftover pieces are in each container? a. Write an equation to represent the stuation. Use a "p" for the unknown number. b. Solve the problem. Show your work.

Ask by Cole Horton. in the United States
Mar 11,2025

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Answer

1. Primero, restamos las piezas usadas de las piezas totales: \[ 776 - 68 = 708 \] 2. Luego, dividimos las piezas restantes entre los 6 contenedores: \[ 708 \div 6 = 118 \] 3. Por lo tanto, cada contenedor tiene 118 piezas.

Solution

1. Primero, determinamos el número de piezas que quedan después de usar 68 piezas del total de 776: \[ 776 - 68 = 708 \] 2. Como las piezas restantes se distribuyen equitativamente en 6 contenedores, el número de piezas por contenedor, que denotamos por \( p \), se obtiene dividiendo 708 entre 6: \[ 6p = 708 \] 3. Para encontrar \( p \), despejamos dividiendo ambos lados de la ecuación por 6: \[ p = \frac{708}{6} = 118 \] 4. Entonces, cada contenedor tiene \( 118 \) piezas.

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First, let's start with the equation to represent Mia's situation. She initially has 776 pieces and uses 68 pieces to start a puzzle, leaving her with \( 776 - 68 = 708 \) pieces. If she puts these pieces equally into 6 containers, the equation would be \( 708 ÷ 6 = p\) with \( r \) being the leftover pieces. Now, let's solve it! When you divide 708 by 6, you get \( 708 ÷ 6 = 118\) with a remainder. To find the exact number of leftover pieces, multiply back: \( 118 × 6 = 708\). Since \( 708\) is exactly divisible by \( 6\), there are no leftover pieces, or in this case, zero leftover pieces. Each container will have \( 118 \) pieces amply distributed. So to recap: a. The equation is \( 708 ÷ 6 = p \) (no leftover pieces). b. Each container gets \( 118 \) pieces, with \( 0\) pieces left over!

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