The special price for each steak burrito that Jasmine would order is approximately $1.95.
How to determine the special price
Let's use the following variables:
t: the price of a soft taco
b: the price of a burrito
c: the special price of chalupas
Given that a burrito costs $2.25, we know that b = $2.25.
For Jasmine's original order, she ordered three soft chicken supreme tacos and three burritos, with a total bill of $11.25. We can set up the equation:
3t + 3b = $11.25
Substitute the value of b, we have:
3t + 3($2.25) = $11.25
3t + $6.75 = $11.25
3t = $11.25 - $6.75
3t = $4.50
t = $4.50 / 3
t = $1.50
Therefore, each soft chicken supreme taco costs $1.50.
For Amy's order, she ordered four soft chicken tacos and two burritos, with a total bill of $10.00. We can set up the equation:
4t + 2b = $10.00
Substitute the value of b, we have:
4t + 2($2.25) = $10.00
4t + $4.50 = $10.00
4t = $10.00 - $4.50
4t = $5.50
t = $5.50 / 4
t = $1.375
Therefore, each soft chicken taco costs approximately $1.375.
For Jasmine's new order, she wants to get 3 chalupas instead of the 3 soft chicken supreme tacos and 3 steak burritos. Her bill would still total $11.25. Let's determine the special price of each steak burrito (represented as b).
The equation for the new order becomes:
3c + 3b = $11.25
Since the chalupas are on sale for $1.80 (represented as c), substitute the value into the equation:
3($1.80) + 3b = $11.25
$5.40 + 3b = $11.25
3b = $11.25 - $5.40
3b = $5.85
b = $5.85 / 3
b ≈ $1.95
Therefore, the special price for each steak burrito that Jasmine would order is approximately $1.95.
Two other friends, Jasmine, and Amy, are thinking about eating at Taco Bell. They read the menu and saw that a burrito costs $2.25 but there was no price on the menu for the soft tacos. If Jasmine ordered three soft chicken supreme tacos and three burritos, her bill would total $11.25. If Amy ordered four soft chicken tacos and two burritos, her bill would total $10.00. Identify variables to represent the tacos and burritos. Once Jasmine and Amy got to the register, the cashier told them that they were having a special on burritos and chalupas. The cashier told them that the chalupas are on sale for $1.80 but she does not know the special price for the burritos. Let c represent the chalupas and let b represent the burritos.
Jasmine is now thinking about getting 3 chalupas instead of the 3 soft chicken supreme tacos and 3 steak burritos. Her bill would still total $11.25. Determine the special price of each steak burrito that Jasmine would order.