The cost of four scarfs and six hats is $52. The cost of two hats is $1 more than the cost of one scarf. What are the costs of o
ne scarf and one hat?
2 answers:
Four scarves and six hats is $52.00
<span>4s+6h=52 </span>
<span>two hats is $1.00 more than the cost of one scarf. </span>
<span>2h=1s+1 </span>
<span>2h=s+1 </span>
<span>s=2h-1 </span>
<span>substitute for s </span>
<span>4s+6h=52 </span>
<span>4(2h-1)+6h=52 </span>
<span>8h-4+6h=52 </span>
<span>14h=56 </span>
<span>h=4 </span>
<span>s=2h-1 </span>
<span>s=8-1 </span>
<span>s=7 </span>
<span>a scarf cost $7 </span>
<span>a hat cost $4</span>
Answer with Step-by-step explanation:
Let s represents the cost of scarfs
and h represents the cost of hats.
Cost of four scarfs and six hats is $52.00
i.e. 4s+6h=52
Cost of two hats is $1.00 more than the cost of one scarf.
i.e. 2h=s+1
s=2h-1
substituting s in 4s+6h=52
4(2h-1)+6h=52
8h-4+6h=52
14h=56
h=4
s=2h-1
s=8-1
s=7
Hence,
Cost of one scarf= $7
and Cost of one hat= $4
You might be interested in
Should be 525$ if I'm correct
The equation for this line would be y=2x-4
12)
9/10 / 3/4
= 9/10 * 4/3
= 12/10
= 6/5
There are a total of 6 groups.
And each group contains at least 4 students.
So the minimum number of students is:
minimum = 6 * 4 = 24 students
Let us say that x represents the number of students,
hence:
<span>x ≥ 24</span>