Question

Juan has gained 20 lb. since last year. He now weighs 120 lb. Rashod is 15 lb. heavier than Diego. If Rashod and Juan weighed the same amount last year, how much does Diego weigh? Let j represent Juan’s weight last year in pounds, and let d represent Diego’s weight in pounds.

a. Draw a tape diagram to represent Juan’s weight.
b. Draw a tape diagram to represent Rashod’s weight.
c. Draw a tape diagram to represent Diego’s weight.
d. What would combining all three tape diagrams look like?
e. Write an equation to represent Juan’s tape diagram.
f. Write an equation to represent Rashod’s tape diagram.
g. How can we use the final tape diagram or the equations above to answer the question presented?
h. Calculate Diego’s weight.

Answer 1

a), b), c) and d) are represented in the attached picture.

e) j+20=120

f) d+15+20=120

g) We get Diego’s weight by comparing his tape diagram with Rashod's diagram and Juan's diagram d+15+20=120

h) Diego’s weight is 85 pounds.

Explanation:

We can get Diego’s weight by solving the following equation:

d+15+20=120

d+35=120

d+35-35=120-35

d=85