Question

Anthony wants to buy a new phone. He has some money already saved but needs another $234.00
$
234.00
. Anthony earns $19.50
$
19.50
mowing each yard. How many lawns does he still need to mow to have enough money to buy a new phone? Investigate this situation with the equation: $19.50x=$234
$
19.50
𝑥
=
$
234
.
He starts the observations with the values 10 and 12.

Which of these values make a true statement?

(1 point)
Responses

10 yards

11 yards

12 yards

No values make a true statement.

Answer 1

To determine how many lawns Anthony needs to mow, we start with the equation:

\[ 19.50x = 234 \]

where \( x \) represents the number of lawns he needs to mow.

To find \( x \), we can rewrite the equation:

\[ x = \frac{234}{19.50} \]

Calculating this:

\[ x = 12 \]

Now, we need to check which of the given yard values (10 and 12) make the equation true:

1. For \( x = 10 \):
\[
19.50 \times 10 = 195 \quad (\text{which is not } 234)
\]

2. For \( x = 11 \):
\[
19.50 \times 11 = 214.50 \quad (\text{which is not } 234)
\]

3. For \( x = 12 \):
\[
19.50 \times 12 = 234 \quad (\text{which is true})
\]

Thus, the only value that makes a true statement is:

**12 yards**.