Answer:
D. 9 forks and 6 spoons
Step-by-step explanation:
Let's calculate how many forks and spoons were made. We need to guess a pair of variable values that will add up to $24.60. We'll do this by substituting all the possible pairs in:
Here's the pair for A:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 8) + ($1.40 * 10)]
= [$14.40 + $14]
= $28.40
Is $28.40 equal to $24.60? No, this is not correct.
Here's the pair for B:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 8) + ($1.40 * 8)]
= [$14.40 + $10.80]
= $25.20
Is $25.20 equal to $24.60? No, this is not correct.
Here's the pair for C:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 9) + ($1.40 * 9)]
= [$16.20 + $12.60]
= $28.80
Is $28.80 equal to $24.60? No, this is not correct.
Here's the pair for D:
[($1.80 * a) + ($1.40 * b)]
= [($1.80 * 9) + ($1.40 * 6)]
= [$16.20 + $8.40]
= $24.60
Is $24.60 equal to $24.60? Yes, this is correct.
Therefore, we know the answer is (D) 9 forks and 6 spoons
We can also check by substituting these values to find the amount Trevon's Custom Kitchen Supplies earned last April:
[($4.60 * a) + ($5.40 * b)]
= [($4.60 * 9) + ($5.40 * 6)]
= [$41.40 + $32.40]
= $73.80
This is equal to the amount of money earned last April.
I hope this helps! Tell me if I'm wrong, please!
