Four minus x equals negative two. 4 - x = -2. whats x?
2 answers:
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<em><u>Question:</u></em>
At a sale on winter clothing, Cody bought two pairs of gloves and four hats for $43.00. Tori bought two pairs of gloves and two hats for $30.00. What were the prices for the gloves and hats?
<em><u>Answer:</u></em>
Price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5
<em><u>Solution:</u></em>
Let "g" be the price of one pair of gloves
Let "h" be the price of 1 hat
<em><u>Cody bought 2 pair of gloves and 4 hats for $43</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 4 x price of 1 hat = 43
2g + 4h = 43 ----------- eqn 1
<em><u>Tori bought two pairs of gloves and two hats for $30.00</u></em>
Therefore, we frame a equation as:
2 x price of one pair of gloves + 2 x price of 1 hat = 30
2g + 2h = 30
Divide by 2
g + h = 15
g = 15 - h ----------- eqn 2
<em><u>Let us solve eqn 1 and eqn 2</u></em>
<em><u>Substitute eqn 2 in eqn 1</u></em>
2(15 - h) + 4h = 43
30 - 2h + 4h = 43
2h = 43 - 30
2h = 13
<h3>h = 6.5</h3><em><u>Substitute h = 6.5 in eqn 2</u></em>
g = 15 - 6.5
<h3>g = 8.5</h3>Thus price of one pair of gloves is $ 8.5 and price of 1 hat is $ 6.5