Question

1. noah has 4 bags of marbles with the same number in each bag. if there are 536 marbles altogether, how many marbles are in each bag? explain how you know.
2. rectangle a is 10 times as long as rectangle b.

if rectangle a is 80 units long, select all the ways find the length of rectangle b.
a. multiply 80 by 10
b. multiply 80 by $\frac{1}{10}$
c. multiply 10 by 80
d. divide 80 by 10
e. divide 10 by 80
f. divide 80 by $\frac{1}{10}$

Explanation:

(Question 6):

Step1: Define marbles per bag

Let $x$ = marbles in one bag.

Step2: Set total marbles equation

$4x = 536$

Step3: Solve for $x$

$x = \frac{536}{4}$

(Question 7):

Step1: Relate lengths of rectangles

Let $L_A$ = length of A, $L_B$ = length of B. Given $L_A = 10L_B$, so $L_B = \frac{L_A}{10}$.

Step2: Equivalent operations

$\frac{L_A}{10} = L_A \times \frac{1}{10}$. Substitute $L_A=80$: $L_B = 80 \div 10 = 80 \times \frac{1}{10}$.

Answer:

(Question 6):
There are 134 marbles in each bag.

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