ALGEBRA 2, 2012

 PAGE: 146 SET: Exercises PROBLEM: 1

Let be the number of T-shirts.

Let be the number of hats.

Observe the table:

The cost and sale price of each item is shown.

The boosters spend a total of on T-shirts and hats.

The total selling price on T-shirts and hats make .

Find how many T-shirts did they sell.

Cost price: .

Sales price: .

The system of equations is and .

Solve the equations and find the value.

(Cost price)

(Subtract from each side)

(Divide each side by )

(Divide each side by )

Find the value.

(Sales price)

(Substitute )

(Distributive property: )

(Subtract from each side)

(Multiply each side by )

(Multiply)

Therefore, they sold T-shirts.

They sold T-shirts.

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