Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.2 kilograms of yarn and
each scarf uses 0.1 kilograms of yarn, Kaelyn wants to make 3 times as many scarves as hats and use 5
kilograms of yarn.
Let h be the number of hats Kaelyn makes and s be the number of scarves she makes
Which system of equations represents this situation?

using 5 kilograms  of yarn Kaelyn can make 16 (or) 17 hats and 16 (or) 17 scarfs and

5.55 times available  to fulfill  her wish of making 3 times as many scarves as hats using 5  kilograms of yarn.

Step-by-step explanation

Let

h be the number of hats uses 0.2 kilograms of yarn

s be the number of scarves uses 0.1 kilograms of yarn

The equation will be = 3h + 3s ≤ 5 kilograms

                                    = 3(0.2) + 3(0.1) ≤ 5

=  5 ÷ 0.6 + 0.3

= 5 ÷ 0.9 = 5.55 times when Kaelyn wants to make 3 times as many scarves as hats

Number of hats    = 5.55×3 = 16.65 ≤17 hats

Number of scarfs  = 5.55×3 = 16.55 ≤ 17 scarfs

using 5 kilograms  of yarn Kaelyn can make 16 (or) 17 hats and 16 (or) 17 scarfs and

5.55 times available  to fulfill  her wish of making 3 times as many scarves as hats using 5  kilograms of yarn.

let x be the money she spent so that she can earn the free t-shirt.

since, she already spent $112.49

⇒

also, as per the statement: jennifer must spend $250 or more in order to qualify for a free t-shirt at the store.

then,

we have an inequality i.,e

subtract 112.49 from both sides we get;

therefore, $137. 51 more money does jennifer need to spend so that she can earn the free t-shirt

a_n = a_1 + (n - 1)d

the first term is 6.

the common difference d = ?

when you find d, replace n with 7 and d with the common difference to find your answer.