The cost of 3 shirts and 2 trousers are £155. Every trouser cost £10 more than a shirt. What is the cost of every shirt? (Explain how to lay out the bar model)

Step-by-step explanation:

X = shirts

Y = trousers

3x + 2y = 155

Now

y + 10 = x

Make y + 10 = x equal y

-10. -10

y = x - 10

Replace y with this equation in our other equation.

3x + 2(x - 10) = 155

Do the math:

This equals x = 35

Now put x = 35 in the other equation

Y + 10 = 35

Do the math:

y = 25

$35 per shirt

$25 per trousers

Now for the bar model, the total is 155

Make a fraction of 35/155

Make a long bar. Split it into 5 parts.

Label three parts 35 and two 25

Make the 35 parts slightly bigger.

It should look like this

idk u tell me

step-by-step explanation:

(a) {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …}

(b) $59 398

step-by-step explanation:

(a) the annual sequence of profits

aₙ = a₁rⁿ⁻¹

the model for the sequence of profits is {a₁, a₁r, a₁r², … a₁rⁿ⁻¹, …} .

(b) profit after 15 yr

  a₁ = $ 30 000

  r = 1.05

a₁₅ = 30 000 × 1.05¹⁴

a₁₅ = 30 000 × 1.979 93

a₁₅ = $59 398

the profit in year 15 will be $59 398.