Answer :
a)Amount of money left on Pablo's card in dollars = $100 - $15x
= $(90 - 15x)
b) Amount of money left on Teresa's card in dollars= $70 - $10x
= $(70 - 10x)
c) Write an equation to show that the two cards have the same amount of money left on them [don't know how to do this part.
$100 - 15x = $70 - 10x
Let x be the number of pizzas purchased. For each card, write an expression for the amount of money left on the card after purchasing x pizzas.
For Pablo
Keith received a gift card of $100 for a pizza restaurant. The restaurant charges $15 per pizza.
x numbers of pizza costs = $15x
Hence, the amount of money left on Pablo's card after purchasing x pizzas = $100 - $15x
For Teresa,
Mary received a gift card of $70 for a different pizza restaurant. The restaurant charges $10 per pizza.
Hence, x number of pizzas cost =$10 × x
= $10x
Therefore, the amount of money left on Mary's card after she buys x pizzas =
$70 - $10x
Amount of money left on Pablo's card in dollars = __________
Amount of money left on Teresa's card in dollars=____________
Write an equation to show that the two cards have the same amount of money left on them.
To find the equation that shows that the two cards have the same amount of money =
Equation 1 = Equation 2
$100 - 15x = $70 - 10x
Collect like terms
-15x + 10x = $70 - $100
-5x = -30
x = 30/5
x = 6
Hence, anytime Pablo and Teresa buys ,6 pizzas their gift card will have the same amount of money left on them.
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