Gino's Garden is a fruit and vegetable stand that sells red and yellow tomatoes. Last week, Gino sold 8 red tomatoes for every 5 yellow tomatoes.
Pick the diagram that models the ratio in the story.
If Gino sold 42 more red tomatoes than yellow tomatoes last week, how many red tomatoes did he sell?

Respuesta :

The correct diagram would be:Red tomatoes: ▇▇▇▇▇▇▇ Yellow tomatoes: ▇▇▇▇▇To find out how many red tomatoes Gino sold, we need to set up a proportion based on the ratio given (8 red tomatoes for every 5 yellow tomatoes) and the difference between the red and yellow tomatoes (42 more red tomatoes than yellow tomatoes).Let x represent the number of yellow tomatoes.So, according to the given ratio, the number of red tomatoes would be ( \frac{8}{5}x ).Since Gino sold 42 more red tomatoes than yellow tomatoes, the equation becomes:( \frac{8}{5}x - x = 42 )Solving for x:( \frac{3}{5}x = 42 )( x = \frac{42 \times 5}{3} )( x = 70 )So, Gino sold 70 yellow tomatoes.Now, to find the number of red tomatoes:( \text{Number of red tomatoes} = 8 \times 70 = 560 )Gino sold 560 red tomatoes.