Same pattern as John's money — T-shirt, shoes, and $120 from his parents. New numbers, new story. Try each one on paper, then check the working below — or watch it drawn out, the same way the problem above is.
Question 1
Mei had some savings. She spent 1/4 of it on a novel and 2/5 of the remainder on a backpack. After that, her grandmother gave her $160. The ratio of the total amount she had at the end to the amount she had at first was 5 : 4. How much did Mei have at first?
Work it out on paper, then check below. ▶ See the working
Question 2
Ravi had some money saved in his piggy bank. He spent 1/4 of it on a video game and 2/5 of the remainder on a pair of headphones. After that, his uncle gave him $112. The ratio of the total amount he had at the end to the amount he had at first was 5 : 4. How much did Ravi have at first?
Work it out on paper, then check below. ▶ See the working
Question 3
Priya had some money. She spent 1/4 of it on art supplies and 2/5 of the remainder on a canvas tote bag. After that, her aunt gave her $144. The ratio of the total amount she had at the end to the amount she had at first was 5 : 4. How much did Priya have at first?
Work it out on paper, then check below. ▶ See the working