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36 choose all the values that would successfully complete the equation …

Question

36 choose all the values that would successfully complete the equation related to the given scenario.
derek has $20 to spend on used books. hardcover books cost $5 each and paperbacks cost $2 each. complete the equation which determines the number $x$ of hardcover books and the number $y$ of paperback books he can buy.
__$x+$$y=$__
a 4
b 5
c 20
d 10
e 2.5
f 2

Explanation:

Step1: Assign cost to hardcovers

The coefficient of $x$ (hardcovers) is their cost: $\$5$, so this blank is 5.

Step2: Assign cost to paperbacks

The coefficient of $y$ (paperbacks) is their cost: $\$2$, so this blank is 2.

Step3: Assign total budget

The right-hand side is total money to spend: $\$20$, so this blank is 20.

Answer:

$5x + 2y = 20$ (corresponding to options B, F, C)