Question

A 1.51 gram bar of gold is worth 1567.01 dollars. what is the value in dollar of a 2.23 gram of gold ingot?

Sara just bought a new car. This car cost $301.26 less than twice the price of her first car. How much did the new car cost if she paid 28,033.51 dollars for her first car?

Answer 1

Explanation:

1.51 gram to $ 1567.01 = 2.23 gram to $ x

1.51 / 1567.01 = 2.23 / x

cross multiply because this is a proportion

(1.51)(x) = (1567.01)(2.23)

1.51x = 3494.43

x = 3494.43 / 1.51

x = $ 2314.19 <===== what 2.23 grams of gold is worth

==========================

x = first car and y = new car

x = 28,033.51

y = 2x - 301.26

y = 2(28,033.51) - 301.26

y = 56,067.02 - 301.26

y = $ 55,765.76 <====== new car cost