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 one scarf and one hat?

Question

Mathematics

Joyce Gordon

2 September, 02:59

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 one scarf and one hat?

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Dylan Nash · Answer 1

Four scarves and six hats is $52.00

4s+6h=52

two hats is $1.00 more than the cost of one scarf.

2h=1s+1

2h=s+1

s=2h-1

substitute for s

4s+6h=52

4 (2h-1) + 6h=52

8h-4+6h=52

14h=56

h=4

s=2h-1

s=8-1

s=7

a scarf cost $7

a hat cost $4