Jason spent $74 at Target. He purchased 1 record for $20 and 2 pairs of shorts for $x each. Which equation can be used to find x, the cost of each pair of shorts? How much did each pair of shorts cost Jason?

Question

2(x+10)=74,$18 per pair of shrts
20(x-74)=3,$3.85 per pair of shorts
10(x+2)=74,$3.55 per pair of shorts
3(x-74)=20,$31 per pair of shorts

choose one of these IDC if its not acuratue

Answer 1

To find the cost of each pair of shorts, we can set up an equation based on Jason's total spending.

He spent $20 on one record and \(2x\) on two pairs of shorts (where \(x\) is the price of each pair of shorts). Therefore, the equation to represent his total spending at Target is:

\[ 20 + 2x = 74 \]

Now, we can solve this equation for \(x\):

1. Subtract 20 from both sides: \[ 2x = 74 - 20 \] \[ 2x = 54 \]

2. Divide both sides by 2: \[ x = \frac{54}{2} = 27 \]

Thus, each pair of shorts cost $27.

Now, let's analyze the options provided for an equation:

1. 2(x + 10) = 74 - This does not correspond to the setup.
2. 20(x - 74) = 3 - This does not correspond to the setup.
3. 10(x + 2) = 74 - This does not correspond to the setup.
4. 3(x - 74) = 20 - This does not correspond to the setup.

Since none of the provided options accurately represent the equation derived from the problem, the answer is "IDC" (none of the options provided are accurate).

Lastly, each pair of shorts cost Jason $27.

Answer 2

broo choose one f thoose

Answer 3

Based on the provided options, none accurately represent the equation we derived, but I can analyze them to see if any can be correlated with the solution.

1. 2(x + 10) = 74 – This suggests \(2x + 20 = 74\), which simplifies to \(2x = 54\), thus \(x = 27\).

2. 20(x - 74) = 3 – This does not look relevant.

3. 10(x + 2) = 74 – This does not correspond to the setup.

4. 3(x - 74) = 20 – This does not correspond to the setup.

Since the first option, 2(x + 10) = 74, leads to the correct value of \(x\) when solved (i.e., \(x = 27\)), this would be the option to choose.

So the answer is: 2(x + 10) = 74, which leads to each pair of shorts costing $27.