Answer:
Mia should have multiplied both sides of the equation by 5/3.
Step-by-step explanation:
Let's analyze Mia's solution:
Mia set up the equation:
[tex] \dfrac{3}{5}x = 30 [/tex]
To solve for [tex] x [/tex], she multiplied both sides by [tex] \dfrac{5}{3} [/tex], which is the reciprocal of [tex] \dfrac{3}{5} [/tex]:
[tex] \dfrac{5}{3} \times \dfrac{3}{5}x = 30 \times \dfrac{5}{3} [/tex]
On the left side, [tex] \dfrac{5}{3} \times \dfrac{3}{5} [/tex] simplifies to 1, leaving us with [tex] x [/tex].
[tex] x = 30 \times \dfrac{5}{3} [/tex]
Now, we can simplify [tex] 30 \times \dfrac{5}{3} [/tex]:
[tex] x = 30 \times \dfrac{5}{3} = 50 [/tex]
However, it seems there was a miscalculation in Mia's solution. When we multiply [tex] 30 [/tex] by [tex] \dfrac{5}{3} [/tex], we should get [tex] 50 [/tex], not [tex] 18 [/tex].
Therefore, the correct solution should be:
[tex] x = 50 [/tex]
So, the answer is:
Mia should have multiplied both sides of the equation by 5/3.
