A silk ribbon costs $5.60 for 0.8m. How much does 3.25m of this silk ribbon cost?

2 answers:

8 0

We can first find how much the ribbon cost for 1m by setting an equation.

Let $y be the cost for 1m:

0.8y = 5.60
y = 5.60 ÷ 0.8
y = 7

Now that we know 1m of ribbon cost $7, we can proceed to find how much 3.25m ribbon cost by mutiplying the length with the cost:

7 x 3.25
=$22.75

Therefore the answer is $22.75.

Hope it helps!

taurus [48]3 years ago

5 0

Answer:

$22.75

Step-by-step explanation:

#1) Find how much 1m of ribbon costs= $5.60 divided by 0.8m= $7

#2) Look at how much does it cost for an amount of ribbon, 3.25m.

#3) Lastly, multiply $7 by 3.25 to equal to $22.75.

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On cross multiplication ,we get

$\begin{array}{l}{5 \times(2 a-2)=a \times(a-2)} \\\\ {10 a-10=a^{2}-2 a} \\\\ {a^{2}-2 a-10 a+10=0} \\\\ {a^{2}-12 a+10=0}\end{array}$

using quadratic formula:-

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

$x=\frac{12 \pm \sqrt{144-40}}{2}$

$\begin{array}{l}{x=\frac{12 \pm \sqrt{144-40}}{2}} \\\\ {x=\frac{12 \pm \sqrt{104}}{2}} \\\\ {x=\frac{12 \pm 2 \sqrt{26}}{2}} \\\\ {x=6 \pm \sqrt{26}=6 \pm 5.1} \\\\ {x=10.1 \text { or } x=0.9}\end{array}$