Question

As treasurer of his school's FFA club, Kenny wants to buy gifts for all 18 members. He can buy t-shirts for $9 and sweatshirts for $15. The club has only $180 to spend. If Kenny wants to spend all of the club's money, how many of each type of gift can he buy?

Answer 1

Kenny can buy 15 t shirts and 3 sweatshirts.

Step-by-step explanation:

Given,

Number of members = 18

Cost of each t shirt = $9

Cost of each sweatshirt = $15

Money = $180

Let,

x be the number of t shirts

y be the number of sweatshirts

According to given statement;

x+y=18       Eqn 1

9x+15y=180      Eqn 2

Multiplying Eqn 1 by 9

$9(x+y=18 )\\9x+9y= 162\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(9x+15y)-(9x+9y)=180-162\\9x+15y-9x-9y=18\\6y=18$

Dividing both sides by 6

$\frac{6y}{6}=\frac{18}{6}\\y=3$

Putting y=3 in Eqn 1

$x+3=18\\x=18-3\\x=15$

Kenny can buy 15 t shirts and 3 sweatshirts.

Keywords: linear equation, elimination method

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