Mathematics: A shop sells party hats and masks. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. Find the cost of each hat and each mask.

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A shop sells party hats and masks. On a particular

ashiteru123

12.02.2022

hats be h and masks be m

Equations are

10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)

Eq(1)×4

$\\ \tt\hookrightarrow 4h+8m=12\dots(3)$

Subtract (3) and (2)

$\\ \tt\hookrightarrow 3m=3$

$\\ \tt\hookrightarrow m=1$

Put in eq(1)

$\\ \tt\hookrightarrow h+2=3$

$\\ \tt\hookrightarrow h=1$

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