Question

2) Abby spent $152 on Math Team spirit gear. Sweatshirts cost $25 and t-shirts cost $11. If she

bought a total of 10 items, how many of each type of shirt did she buy?

Answer 1

Answer:Abby bought 3 sweat shirts and 7 t shirt

Explanation:

Step 1

Let sweat shirt be represented as s

and t shirts be represented as t

such that the total umber of items bought which equals 10 can be written as

s+ t= 10---- equation 1

and total price of the gear with each item costing $25 on sweatshirt $11 on t-shirts be expressed as

25 s+ 11 t = 152---- equation 2

Step 2

s+ t= 10-----equation 1

25s+ 11t= 152----equation 2

By elimination method , multiply equation 1 by 10 and subtract equation 2 from it

25 s+ 25t= 250----- equation 3

-25s + 11t= 152-----equation 2

14t=98

t=98/14= 7

To find s, using equation 1

s+t=10

s= 10-7= 3

Abby bought 3 sweat shirts and 7 t shirt