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A school received a shipment of laptops and tablets purchased for
$35,100 for their new computer lab. Each tablet cost
$375 and each laptop cost
$850. If the school ordered 3 times as many laptops as tablets, then which of the following is the number of laptops in the shipment?
Choose 1 answer:
(A) 12
(B) 18
(C) 36
(D) 54

A school received a shipment of laptops and tablets purchased for $\$ 35,100$ for their new computer lab. Each tablet cost $\$ 375$ and each laptop cost $\$ 850$ . If the school ordered $3$ times as many laptops as tablets, then which of the following is the number of laptops in the shipment? $\newline$ Choose $1$ answer: $\newline$ (A) $12$ $\newline$ (B) $18$ $\newline$ (C) $36$ $\newline$ (D) $54$

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Compound events: find the number of outcomes

Full solution

Q. A school received a shipment of laptops and tablets purchased for

\$ 35,100

for their new computer lab. Each tablet cost

\$ 375

and each laptop cost

\$ 850

. If the school ordered

3

times as many laptops as tablets, then which of the following is the number of laptops in the shipment?

\newline

Choose

1

answer:

\newline

(A)

12

\newline

(B)

18

\newline

(C)

36

\newline

(D)

54

Denote tablets and laptops: Let's denote the number of tablets as $T$ and the number of laptops as $L$ . According to the problem, the school ordered $3$ times as many laptops as tablets, which gives us the equation: $\newline$ $L = 3T$
Total cost equation: We also know the total cost for the tablets and laptops is $\$35,100$ . The cost of each tablet is $\$375$ and the cost of each laptop is $\$850$ . We can write this information as an equation: $\newline$ $375T + 850L = 35,100$
Substitute and simplify: Now we can substitute the expression for $L$ from the first equation into the second equation to find the number of tablets: $\newline$ $375T + 850(3T) = 35,100$
Divide to find tablets: Simplify the equation by combining like terms: $\newline$ $375T + 2550T = 35,100$ $\newline$ $2925T = 35,100$
Calculate tablets: Divide both sides of the equation by $2925$ to solve for $T$ : $\newline$ $T = \frac{35,100}{2925}$
Find number of laptops: Perform the division to find the number of tablets: $T = 12$
Calculate laptops: Now that we have the number of tablets, we can find the number of laptops using the first equation: $\newline$ $L = 3T$ $\newline$ $L = 3 \times 12$
Calculate laptops: Now that we have the number of tablets, we can find the number of laptops using the first equation: $\newline$ $L = 3T$ $\newline$ $L = 3 \times 12$ Calculate the number of laptops: $\newline$ $L = 36$

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