Pablo received a gift card of $100 for a pizza restaurant .The restaurant charges $15 per pizza. Teresa received a gift card of $70 for a different pizza restaurant .the restaurant charges $10 per pizza .let X be the number of pizzas purchase. for each card write an expression for the amount of money left on the card after purchasing X pizzas.



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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