Question

1. chay will split her collection of b books equally onto 4 shelves, with 16 books on each shelf.

the equation $\frac{b}{4}=16$ can be used to find $b$, the number of books chay has in her collection. solve the equation.
a. $b=4$
b. $b=64$
c. $b=20$
d. $b=12$

1. here is an equation.

$p\div3.5=0.7$

select two equations that have the same solution as this equation.
a. $0.7p=3.5$
b. $p=(0.7)\bullet(3.5)$
c. $p=3.5\div0.7$
d. $0.7=p\div3.5$

Explanation:

Step1: Solve for $b$ (Q6)

Multiply both sides by 4:
$$\frac{b}{4} \times 4 = 16 \times 4$$
$$b = 64$$

Step2: Solve for $p$ (Q7)

Rewrite and multiply by 3.5:
$$p = 0.7 \times 3.5$$
$$p = 2.45$$

Step3: Test option A (Q7)

Solve $0.7p=3.5$:
$$p = \frac{3.5}{0.7} = 5$$
Not equal to 2.45.

Step4: Test option B (Q7)

Calculate $p=(0.7)(3.5)$:
$$p = 2.45$$
Matches the solution.

Step5: Test option C (Q7)

Solve $p=3.5\div0.7$:
$$p = 5$$
Not equal to 2.45.

Step6: Test option D (Q7)

Rewrite $0.7=p\div3.5$:
$$p = 0.7 \times 3.5 = 2.45$$
Matches the solution.

Answer:

1. B. $b = 64$
2. B. $p = (0.7) \bullet (3.5)$, D. $0.7 = p \div 3.5$